Solve for x
x = -\frac{3}{2} = -1\frac{1}{2} = -1.5
Graph
Share
Copied to clipboard
4\left(3x+1\right)-3\left(2x-1\right)=2x+1
Multiply both sides of the equation by 12, the least common multiple of 3,4,12.
12x+4-3\left(2x-1\right)=2x+1
Use the distributive property to multiply 4 by 3x+1.
12x+4-6x+3=2x+1
Use the distributive property to multiply -3 by 2x-1.
6x+4+3=2x+1
Combine 12x and -6x to get 6x.
6x+7=2x+1
Add 4 and 3 to get 7.
6x+7-2x=1
Subtract 2x from both sides.
4x+7=1
Combine 6x and -2x to get 4x.
4x=1-7
Subtract 7 from both sides.
4x=-6
Subtract 7 from 1 to get -6.
x=\frac{-6}{4}
Divide both sides by 4.
x=-\frac{3}{2}
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 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}