Solve for x
x=-\frac{4}{5}=-0.8
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5x+5-2\left(x-3\right)=10-\left(2x+3\right)
Use the distributive property to multiply 5 by x+1.
5x+5-2x+6=10-\left(2x+3\right)
Use the distributive property to multiply -2 by x-3.
3x+5+6=10-\left(2x+3\right)
Combine 5x and -2x to get 3x.
3x+11=10-\left(2x+3\right)
Add 5 and 6 to get 11.
3x+11=10-2x-3
To find the opposite of 2x+3, find the opposite of each term.
3x+11=7-2x
Subtract 3 from 10 to get 7.
3x+11+2x=7
Add 2x to both sides.
5x+11=7
Combine 3x and 2x to get 5x.
5x=7-11
Subtract 11 from both sides.
5x=-4
Subtract 11 from 7 to get -4.
x=\frac{-4}{5}
Divide both sides by 5.
x=-\frac{4}{5}
Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.
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}