Solve for x
x=-3
Graph
Share
Copied to clipboard
4\left(2x-1\right)-\left(5x+2\right)=3\left(2x-3\right)+12
Multiply both sides of the equation by 12, the least common multiple of 3,12,4.
8x-4-\left(5x+2\right)=3\left(2x-3\right)+12
Use the distributive property to multiply 4 by 2x-1.
8x-4-5x-2=3\left(2x-3\right)+12
To find the opposite of 5x+2, find the opposite of each term.
3x-4-2=3\left(2x-3\right)+12
Combine 8x and -5x to get 3x.
3x-6=3\left(2x-3\right)+12
Subtract 2 from -4 to get -6.
3x-6=6x-9+12
Use the distributive property to multiply 3 by 2x-3.
3x-6=6x+3
Add -9 and 12 to get 3.
3x-6-6x=3
Subtract 6x from both sides.
-3x-6=3
Combine 3x and -6x to get -3x.
-3x=3+6
Add 6 to both sides.
-3x=9
Add 3 and 6 to get 9.
x=\frac{9}{-3}
Divide both sides by -3.
x=-3
Divide 9 by -3 to get -3.
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}