Solve for x
x=2
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2\left(2x-3\right)+7x-13+3\left(5-2x\right)=6x-6
Multiply both sides of the equation by 6, the least common multiple of 3,6,2.
4x-6+7x-13+3\left(5-2x\right)=6x-6
Use the distributive property to multiply 2 by 2x-3.
11x-6-13+3\left(5-2x\right)=6x-6
Combine 4x and 7x to get 11x.
11x-19+3\left(5-2x\right)=6x-6
Subtract 13 from -6 to get -19.
11x-19+15-6x=6x-6
Use the distributive property to multiply 3 by 5-2x.
11x-4-6x=6x-6
Add -19 and 15 to get -4.
5x-4=6x-6
Combine 11x and -6x to get 5x.
5x-4-6x=-6
Subtract 6x from both sides.
-x-4=-6
Combine 5x and -6x to get -x.
-x=-6+4
Add 4 to both sides.
-x=-2
Add -6 and 4 to get -2.
x=2
Multiply both sides by -1.
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}