Solve for x
x=9
Graph
Share
Copied to clipboard
5\left(x-6\right)=30x-3\left(4x-1\right)+5\left(6-4x\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-30=30x-3\left(4x-1\right)+5\left(6-4x\right)
Use the distributive property to multiply 5 by x-6.
5x-30=30x-12x+3+5\left(6-4x\right)
Use the distributive property to multiply -3 by 4x-1.
5x-30=18x+3+5\left(6-4x\right)
Combine 30x and -12x to get 18x.
5x-30=18x+3+30-20x
Use the distributive property to multiply 5 by 6-4x.
5x-30=18x+33-20x
Add 3 and 30 to get 33.
5x-30=-2x+33
Combine 18x and -20x to get -2x.
5x-30+2x=33
Add 2x to both sides.
7x-30=33
Combine 5x and 2x to get 7x.
7x=33+30
Add 30 to both sides.
7x=63
Add 33 and 30 to get 63.
x=\frac{63}{7}
Divide both sides by 7.
x=9
Divide 63 by 7 to get 9.
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}