Solve for x
x=5
Graph
Share
Copied to clipboard
2\left(2x+2\right)+3\left(3x-5\right)=54
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x+4+3\left(3x-5\right)=54
Use the distributive property to multiply 2 by 2x+2.
4x+4+9x-15=54
Use the distributive property to multiply 3 by 3x-5.
13x+4-15=54
Combine 4x and 9x to get 13x.
13x-11=54
Subtract 15 from 4 to get -11.
13x=54+11
Add 11 to both sides.
13x=65
Add 54 and 11 to get 65.
x=\frac{65}{13}
Divide both sides by 13.
x=5
Divide 65 by 13 to get 5.
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}