Solve for b
b=5+\frac{7}{x}
x\neq 0
Solve for x
x=\frac{7}{b-5}
b\neq 5
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-4+bx=2x+3x+3
Use the distributive property to multiply 3 by x+1.
-4+bx=5x+3
Combine 2x and 3x to get 5x.
bx=5x+3+4
Add 4 to both sides.
bx=5x+7
Add 3 and 4 to get 7.
xb=5x+7
The equation is in standard form.
\frac{xb}{x}=\frac{5x+7}{x}
Divide both sides by x.
b=\frac{5x+7}{x}
Dividing by x undoes the multiplication by x.
b=5+\frac{7}{x}
Divide 5x+7 by x.
-4+bx=2x+3x+3
Use the distributive property to multiply 3 by x+1.
-4+bx=5x+3
Combine 2x and 3x to get 5x.
-4+bx-5x=3
Subtract 5x from both sides.
bx-5x=3+4
Add 4 to both sides.
bx-5x=7
Add 3 and 4 to get 7.
\left(b-5\right)x=7
Combine all terms containing x.
\frac{\left(b-5\right)x}{b-5}=\frac{7}{b-5}
Divide both sides by b-5.
x=\frac{7}{b-5}
Dividing by b-5 undoes the multiplication by b-5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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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
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