Solve for x
x=-2
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8\left(4x+7\right)-6\left(x-2\right)=-\left(5x-6\right)
Multiply both sides of the equation by 24, the least common multiple of 3,4,24.
32x+56-6\left(x-2\right)=-\left(5x-6\right)
Use the distributive property to multiply 8 by 4x+7.
32x+56-6x+12=-\left(5x-6\right)
Use the distributive property to multiply -6 by x-2.
26x+56+12=-\left(5x-6\right)
Combine 32x and -6x to get 26x.
26x+68=-\left(5x-6\right)
Add 56 and 12 to get 68.
26x+68=-5x-\left(-6\right)
To find the opposite of 5x-6, find the opposite of each term.
26x+68=-5x+6
The opposite of -6 is 6.
26x+68+5x=6
Add 5x to both sides.
31x+68=6
Combine 26x and 5x to get 31x.
31x=6-68
Subtract 68 from both sides.
31x=-62
Subtract 68 from 6 to get -62.
x=\frac{-62}{31}
Divide both sides by 31.
x=-2
Divide -62 by 31 to get -2.
Examples
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y = 3x + 4
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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
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