Solve for x
x = -\frac{67}{8} = -8\frac{3}{8} = -8.375
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2\left(x+4\right)-10x-50=5\left(x+3\right)-5\left(x-2\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2.
2x+8-10x-50=5\left(x+3\right)-5\left(x-2\right)
Use the distributive property to multiply 2 by x+4.
-8x+8-50=5\left(x+3\right)-5\left(x-2\right)
Combine 2x and -10x to get -8x.
-8x-42=5\left(x+3\right)-5\left(x-2\right)
Subtract 50 from 8 to get -42.
-8x-42=5x+15-5\left(x-2\right)
Use the distributive property to multiply 5 by x+3.
-8x-42=5x+15-5x+10
Use the distributive property to multiply -5 by x-2.
-8x-42=15+10
Combine 5x and -5x to get 0.
-8x-42=25
Add 15 and 10 to get 25.
-8x=25+42
Add 42 to both sides.
-8x=67
Add 25 and 42 to get 67.
x=\frac{67}{-8}
Divide both sides by -8.
x=-\frac{67}{8}
Fraction \frac{67}{-8} can be rewritten as -\frac{67}{8} by extracting the negative sign.
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}