Solve for x
x=1
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4\left(3x-2\right)-2\times 3\left(x+1\right)=5\left(3-x\right)-18
Multiply both sides of the equation by 20, the least common multiple of 5,10,4.
12x-8-2\times 3\left(x+1\right)=5\left(3-x\right)-18
Use the distributive property to multiply 4 by 3x-2.
12x-8-6\left(x+1\right)=5\left(3-x\right)-18
Multiply -2 and 3 to get -6.
12x-8-6x-6=5\left(3-x\right)-18
Use the distributive property to multiply -6 by x+1.
6x-8-6=5\left(3-x\right)-18
Combine 12x and -6x to get 6x.
6x-14=5\left(3-x\right)-18
Subtract 6 from -8 to get -14.
6x-14=15-5x-18
Use the distributive property to multiply 5 by 3-x.
6x-14=-3-5x
Subtract 18 from 15 to get -3.
6x-14+5x=-3
Add 5x to both sides.
11x-14=-3
Combine 6x and 5x to get 11x.
11x=-3+14
Add 14 to both sides.
11x=11
Add -3 and 14 to get 11.
x=\frac{11}{11}
Divide both sides by 11.
x=1
Divide 11 by 11 to get 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}