Solve for x
x=7
Graph
Share
Copied to clipboard
24\left(3x-1\right)-20\left(5x+1\right)=15\left(x+1\right)-360
Multiply both sides of the equation by 120, the least common multiple of 5,6,8.
72x-24-20\left(5x+1\right)=15\left(x+1\right)-360
Use the distributive property to multiply 24 by 3x-1.
72x-24-100x-20=15\left(x+1\right)-360
Use the distributive property to multiply -20 by 5x+1.
-28x-24-20=15\left(x+1\right)-360
Combine 72x and -100x to get -28x.
-28x-44=15\left(x+1\right)-360
Subtract 20 from -24 to get -44.
-28x-44=15x+15-360
Use the distributive property to multiply 15 by x+1.
-28x-44=15x-345
Subtract 360 from 15 to get -345.
-28x-44-15x=-345
Subtract 15x from both sides.
-43x-44=-345
Combine -28x and -15x to get -43x.
-43x=-345+44
Add 44 to both sides.
-43x=-301
Add -345 and 44 to get -301.
x=\frac{-301}{-43}
Divide both sides by -43.
x=7
Divide -301 by -43 to get 7.
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}