Solve for x
x=-3
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5\left(x-1\right)=4\left(x-2\right)
Multiply both sides of the equation by 20, the least common multiple of 4,5.
5x-5=4\left(x-2\right)
Use the distributive property to multiply 5 by x-1.
5x-5=4x-8
Use the distributive property to multiply 4 by x-2.
5x-5-4x=-8
Subtract 4x from both sides.
x-5=-8
Combine 5x and -4x to get x.
x=-8+5
Add 5 to both sides.
x=-3
Add -8 and 5 to get -3.
Examples
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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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