Solve for x
x = \frac{19}{4} = 4\frac{3}{4} = 4.75
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2x-6-3\left(2-x\right)=5\left(x+1\right)-2\left(2x-1\right)
Use the distributive property to multiply 2 by x-3.
2x-6-6+3x=5\left(x+1\right)-2\left(2x-1\right)
Use the distributive property to multiply -3 by 2-x.
2x-12+3x=5\left(x+1\right)-2\left(2x-1\right)
Subtract 6 from -6 to get -12.
5x-12=5\left(x+1\right)-2\left(2x-1\right)
Combine 2x and 3x to get 5x.
5x-12=5x+5-2\left(2x-1\right)
Use the distributive property to multiply 5 by x+1.
5x-12=5x+5-4x+2
Use the distributive property to multiply -2 by 2x-1.
5x-12=x+5+2
Combine 5x and -4x to get x.
5x-12=x+7
Add 5 and 2 to get 7.
5x-12-x=7
Subtract x from both sides.
4x-12=7
Combine 5x and -x to get 4x.
4x=7+12
Add 12 to both sides.
4x=19
Add 7 and 12 to get 19.
x=\frac{19}{4}
Divide both sides by 4.
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}