Solve for x
x=-\frac{11}{16}=-0.6875
Graph
Share
Copied to clipboard
5x-5+16\left(2x+3\right)=3\left(2x+7\right)-x
Use the distributive property to multiply 5 by x-1.
5x-5+32x+48=3\left(2x+7\right)-x
Use the distributive property to multiply 16 by 2x+3.
37x-5+48=3\left(2x+7\right)-x
Combine 5x and 32x to get 37x.
37x+43=3\left(2x+7\right)-x
Add -5 and 48 to get 43.
37x+43=6x+21-x
Use the distributive property to multiply 3 by 2x+7.
37x+43=5x+21
Combine 6x and -x to get 5x.
37x+43-5x=21
Subtract 5x from both sides.
32x+43=21
Combine 37x and -5x to get 32x.
32x=21-43
Subtract 43 from both sides.
32x=-22
Subtract 43 from 21 to get -22.
x=\frac{-22}{32}
Divide both sides by 32.
x=-\frac{11}{16}
Reduce the fraction \frac{-22}{32} to lowest terms by extracting and canceling out 2.
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}