Solve for x
x=3
Graph
Share
Copied to clipboard
2\left(x+2\right)+5\left(x+3\right)=40
Multiply both sides of the equation by 10, the least common multiple of 5,2.
2x+4+5\left(x+3\right)=40
Use the distributive property to multiply 2 by x+2.
2x+4+5x+15=40
Use the distributive property to multiply 5 by x+3.
7x+4+15=40
Combine 2x and 5x to get 7x.
7x+19=40
Add 4 and 15 to get 19.
7x=40-19
Subtract 19 from both sides.
7x=21
Subtract 19 from 40 to get 21.
x=\frac{21}{7}
Divide both sides by 7.
x=3
Divide 21 by 7 to get 3.
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}