Solve for x
x=5
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2\left(5x-6\right)-3\left(4x-7\right)=19-2\left(4x-10\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2,6.
10x-12-3\left(4x-7\right)=19-2\left(4x-10\right)
Use the distributive property to multiply 2 by 5x-6.
10x-12-12x+21=19-2\left(4x-10\right)
Use the distributive property to multiply -3 by 4x-7.
-2x-12+21=19-2\left(4x-10\right)
Combine 10x and -12x to get -2x.
-2x+9=19-2\left(4x-10\right)
Add -12 and 21 to get 9.
-2x+9=19-8x+20
Use the distributive property to multiply -2 by 4x-10.
-2x+9=39-8x
Add 19 and 20 to get 39.
-2x+9+8x=39
Add 8x to both sides.
6x+9=39
Combine -2x and 8x to get 6x.
6x=39-9
Subtract 9 from both sides.
6x=30
Subtract 9 from 39 to get 30.
x=\frac{30}{6}
Divide both sides by 6.
x=5
Divide 30 by 6 to get 5.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}