Solve for b
b=-1
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3-2b+4=2-7b
Use the distributive property to multiply -2 by b-2.
7-2b=2-7b
Add 3 and 4 to get 7.
7-2b+7b=2
Add 7b to both sides.
7+5b=2
Combine -2b and 7b to get 5b.
5b=2-7
Subtract 7 from both sides.
5b=-5
Subtract 7 from 2 to get -5.
b=\frac{-5}{5}
Divide both sides by 5.
b=-1
Divide -5 by 5 to get -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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]
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}