Solve for x
x=3
Graph
Quiz
Linear Equation
5 problems similar to:
8-2 \left( 3x-2 \left( x-5 \right) -7 \right) -(3x-13) = 0
Share
Copied to clipboard
8-2\left(3x-2x+10-7\right)-\left(3x-13\right)=0
Use the distributive property to multiply -2 by x-5.
8-2\left(x+10-7\right)-\left(3x-13\right)=0
Combine 3x and -2x to get x.
8-2\left(x+3\right)-\left(3x-13\right)=0
Subtract 7 from 10 to get 3.
8-2x-6-\left(3x-13\right)=0
Use the distributive property to multiply -2 by x+3.
2-2x-\left(3x-13\right)=0
Subtract 6 from 8 to get 2.
2-2x-3x-\left(-13\right)=0
To find the opposite of 3x-13, find the opposite of each term.
2-2x-3x+13=0
The opposite of -13 is 13.
2-5x+13=0
Combine -2x and -3x to get -5x.
15-5x=0
Add 2 and 13 to get 15.
-5x=-15
Subtract 15 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-15}{-5}
Divide both sides by -5.
x=3
Divide -15 by -5 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}