Solve for x
x=10
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4\left(2x-5\right)-3\left(x+2\right)=24
Multiply both sides of the equation by 12, the least common multiple of 3,4.
8x-20-3\left(x+2\right)=24
Use the distributive property to multiply 4 by 2x-5.
8x-20-3x-6=24
Use the distributive property to multiply -3 by x+2.
5x-20-6=24
Combine 8x and -3x to get 5x.
5x-26=24
Subtract 6 from -20 to get -26.
5x=24+26
Add 26 to both sides.
5x=50
Add 24 and 26 to get 50.
x=\frac{50}{5}
Divide both sides by 5.
x=10
Divide 50 by 5 to get 10.
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
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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
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