Solve for x
x = -\frac{17}{5} = -3\frac{2}{5} = -3.4
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8x+10-3\left(x-6\right)=-5\times 3x+2\left(5x-3\right)
Use the distributive property to multiply 2 by 4x+5.
8x+10-3x+18=-5\times 3x+2\left(5x-3\right)
Use the distributive property to multiply -3 by x-6.
5x+10+18=-5\times 3x+2\left(5x-3\right)
Combine 8x and -3x to get 5x.
5x+28=-5\times 3x+2\left(5x-3\right)
Add 10 and 18 to get 28.
5x+28=-15x+2\left(5x-3\right)
Multiply -5 and 3 to get -15.
5x+28=-15x+10x-6
Use the distributive property to multiply 2 by 5x-3.
5x+28=-5x-6
Combine -15x and 10x to get -5x.
5x+28+5x=-6
Add 5x to both sides.
10x+28=-6
Combine 5x and 5x to get 10x.
10x=-6-28
Subtract 28 from both sides.
10x=-34
Subtract 28 from -6 to get -34.
x=\frac{-34}{10}
Divide both sides by 10.
x=-\frac{17}{5}
Reduce the fraction \frac{-34}{10} to lowest terms by extracting and canceling out 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}