Solve for x
x=\frac{3}{16}=0.1875
Graph
Share
Copied to clipboard
5\left(2x-3\right)-6\left(3x-1\right)=2\left(4x-6\right)
Multiply both sides of the equation by 30, the least common multiple of 6,5,15.
10x-15-6\left(3x-1\right)=2\left(4x-6\right)
Use the distributive property to multiply 5 by 2x-3.
10x-15-18x+6=2\left(4x-6\right)
Use the distributive property to multiply -6 by 3x-1.
-8x-15+6=2\left(4x-6\right)
Combine 10x and -18x to get -8x.
-8x-9=2\left(4x-6\right)
Add -15 and 6 to get -9.
-8x-9=8x-12
Use the distributive property to multiply 2 by 4x-6.
-8x-9-8x=-12
Subtract 8x from both sides.
-16x-9=-12
Combine -8x and -8x to get -16x.
-16x=-12+9
Add 9 to both sides.
-16x=-3
Add -12 and 9 to get -3.
x=\frac{-3}{-16}
Divide both sides by -16.
x=\frac{3}{16}
Fraction \frac{-3}{-16} can be simplified to \frac{3}{16} by removing the negative sign from both the numerator and the denominator.
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}