Solve for x
x=-4
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4\left(2x+3\right)=5x
Multiply both sides of the equation by 20, the least common multiple of 5,4.
8x+12=5x
Use the distributive property to multiply 4 by 2x+3.
8x+12-5x=0
Subtract 5x from both sides.
3x+12=0
Combine 8x and -5x to get 3x.
3x=-12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-12}{3}
Divide both sides by 3.
x=-4
Divide -12 by 3 to get -4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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Limits
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