Type a math problem
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Solve for b
b=8+\frac{12}{x},x\neq 0
Steps for Solving Linear Equation
8 x + 5 = b x - 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
Add 7 to both sides.
Add to both sides.
bx=8x+5+7
Add 5 and 7 to get 12.
Add and to get .
bx=8x+12
The equation is in standard form.
The equation is in standard form.
xb=8x+12
Divide both sides by x.
Divide both sides by .
\frac{xb}{x}=\frac{8x+12}{x}
Dividing by x undoes the multiplication by x.
Dividing by undoes the multiplication by .
b=\frac{8x+12}{x}
Divide 8x+12 by x.
Divide by .
b=8+\frac{12}{x}
Solve for x
x=-\frac{12}{8-b},b\neq 8
Steps for Solving Linear Equation
8 x + 5 = b x - 7
Subtract bx from both sides.
Subtract from both sides.
8x+5-bx=-7
Subtract 5 from both sides.
Subtract from both sides.
8x-bx=-7-5
Subtract 5 from -7 to get -12.
Subtract from to get .
8x-bx=-12
Combine all terms containing x.
Combine all terms containing .
\left(8-b\right)x=-12
Divide both sides by 8-b.
Divide both sides by .
\frac{\left(8-b\right)x}{8-b}=\frac{-12}{8-b}
Dividing by 8-b undoes the multiplication by 8-b.
Dividing by undoes the multiplication by .
x=\frac{-12}{8-b}
Divide -12 by 8-b.
Divide by .
x=-\frac{12}{8-b}
Graph
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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.
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{ x } ^ { 2 } - 4 x - 5 = 0
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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