Solve for x
x=10
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2\times 2x=90-5x
Multiply both sides of the equation by 10, the least common multiple of 5,2.
4x=90-5x
Multiply 2 and 2 to get 4.
4x+5x=90
Add 5x to both sides.
9x=90
Combine 4x and 5x to get 9x.
x=\frac{90}{9}
Divide both sides by 9.
x=10
Divide 90 by 9 to get 10.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
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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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