Type a math problem

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Type a math problem

Solve for b

b=8+\frac{12}{x},x\neq 0

$b=8+x12 ,x =0$

Steps for Solving Linear Equation

8 x + 5 = b x - 7

$8x+5=bx−7$

Swap sides so that all variable terms are on the left hand side.

Swap sides so that all variable terms are on the left hand side.

bx-7=8x+5

$bx−7=8x+5$

Add 7 to both sides.

Add $7$ to both sides.

bx=8x+5+7

$bx=8x+5+7$

Add 5 and 7 to get 12.

Add $5$ and $7$ to get $12$.

bx=8x+12

$bx=8x+12$

The equation is in standard form.

The equation is in standard form.

xb=8x+12

$xb=8x+12$

Divide both sides by x.

Divide both sides by $x$.

\frac{xb}{x}=\frac{8x+12}{x}

$xxb =x8x+12 $

Dividing by x undoes the multiplication by x.

Dividing by $x$ undoes the multiplication by $x$.

b=\frac{8x+12}{x}

$b=x8x+12 $

Divide 8x+12 by x.

Divide $8x+12$ by $x$.

b=8+\frac{12}{x}

$b=8+x12 $

Solve for x

x=-\frac{12}{8-b},b\neq 8

$x=−8−b12 ,b =8$

Steps for Solving Linear Equation

8 x + 5 = b x - 7

$8x+5=bx−7$

Subtract bx from both sides.

Subtract $bx$ from both sides.

8x+5-bx=-7

$8x+5−bx=−7$

Subtract 5 from both sides.

Subtract $5$ from both sides.

8x-bx=-7-5

$8x−bx=−7−5$

Subtract 5 from -7 to get -12.

Subtract $5$ from $−7$ to get $−12$.

8x-bx=-12

$8x−bx=−12$

Combine all terms containing x.

Combine all terms containing $x$.

\left(8-b\right)x=-12

$(8−b)x=−12$

Divide both sides by 8-b.

Divide both sides by $8−b$.

\frac{\left(8-b\right)x}{8-b}=\frac{-12}{8-b}

$8−b(8−b)x =8−b−12 $

Dividing by 8-b undoes the multiplication by 8-b.

Dividing by $8−b$ undoes the multiplication by $8−b$.

x=\frac{-12}{8-b}

$x=8−b−12 $

Divide -12 by 8-b.

Divide $−12$ by $8−b$.

x=-\frac{12}{8-b}

$x=−8−b12 $

Graph

Graph Both Sides in 2D

Graph in 2D

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bx-7=8x+5

Swap sides so that all variable terms are on the left hand side.

bx=8x+5+7

Add 7 to both sides.

bx=8x+12

Add 5 and 7 to get 12.

xb=8x+12

The equation is in standard form.

\frac{xb}{x}=\frac{8x+12}{x}

Divide both sides by x.

b=\frac{8x+12}{x}

Dividing by x undoes the multiplication by x.

b=8+\frac{12}{x}

Divide 8x+12 by x.

8x+5-bx=-7

Subtract bx from both sides.

8x-bx=-7-5

Subtract 5 from both sides.

8x-bx=-12

Subtract 5 from -7 to get -12.

\left(8-b\right)x=-12

Combine all terms containing x.

\frac{\left(8-b\right)x}{8-b}=\frac{-12}{8-b}

Divide both sides by 8-b.

x=\frac{-12}{8-b}

Dividing by 8-b undoes the multiplication by 8-b.

x=-\frac{12}{8-b}

Divide -12 by 8-b.

Examples

Quadratic equation

{ x } ^ { 2 } - 4 x - 5 = 0

$x_{2}−4x−5=0$

Trigonometry

4 \sin \theta \cos \theta = 2 \sin \theta

$4sinθcosθ=2sinθ$

Linear equation

y = 3x + 4

$y=3x+4$

Arithmetic

699 * 533

$699∗533$

Matrix

\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \right]

$[25 34 ][2−1 01 35 ]$

Simultaneous equation

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

${8x+2y=467x+3y=47 $

Differentiation

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

$dxd (x−5)(3x_{2}−2) $

Integration

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

$∫_{0}xe_{−x_{2}}dx$

Limits

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

$x→−3lim x_{2}+2x−3x_{2}−9 $

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