Solve for x
x = \frac{24}{5} = 4\frac{4}{5} = 4.8
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2x-8=1-3\left(x-5\right)
Use the distributive property to multiply 2 by x-4.
2x-8=1-3x+15
Use the distributive property to multiply -3 by x-5.
2x-8=16-3x
Add 1 and 15 to get 16.
2x-8+3x=16
Add 3x to both sides.
5x-8=16
Combine 2x and 3x to get 5x.
5x=16+8
Add 8 to both sides.
5x=24
Add 16 and 8 to get 24.
x=\frac{24}{5}
Divide both sides by 5.
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
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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}