Solve for x
x=2
Graph
Share
Copied to clipboard
6x-6+4\left(x-2\right)=x+1-3\left(x-3\right)
Use the distributive property to multiply 6 by x-1.
6x-6+4x-8=x+1-3\left(x-3\right)
Use the distributive property to multiply 4 by x-2.
10x-6-8=x+1-3\left(x-3\right)
Combine 6x and 4x to get 10x.
10x-14=x+1-3\left(x-3\right)
Subtract 8 from -6 to get -14.
10x-14=x+1-3x+9
Use the distributive property to multiply -3 by x-3.
10x-14=-2x+1+9
Combine x and -3x to get -2x.
10x-14=-2x+10
Add 1 and 9 to get 10.
10x-14+2x=10
Add 2x to both sides.
12x-14=10
Combine 10x and 2x to get 12x.
12x=10+14
Add 14 to both sides.
12x=24
Add 10 and 14 to get 24.
x=\frac{24}{12}
Divide both sides by 12.
x=2
Divide 24 by 12 to get 2.
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}