Solve for x
x=-\frac{5}{17}\approx -0.294117647
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2\left(2x-2\right)-\left(1-3x\right)=-10x-10
Multiply both sides of the equation by 10, the least common multiple of 5,10.
4x-4-\left(1-3x\right)=-10x-10
Use the distributive property to multiply 2 by 2x-2.
4x-4-1-\left(-3x\right)=-10x-10
To find the opposite of 1-3x, find the opposite of each term.
4x-4-1+3x=-10x-10
The opposite of -3x is 3x.
4x-5+3x=-10x-10
Subtract 1 from -4 to get -5.
7x-5=-10x-10
Combine 4x and 3x to get 7x.
7x-5+10x=-10
Add 10x to both sides.
17x-5=-10
Combine 7x and 10x to get 17x.
17x=-10+5
Add 5 to both sides.
17x=-5
Add -10 and 5 to get -5.
x=\frac{-5}{17}
Divide both sides by 17.
x=-\frac{5}{17}
Fraction \frac{-5}{17} can be rewritten as -\frac{5}{17} 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}