Solve for x
x=64
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\frac{1x}{8}+\frac{7x}{16}+28=x
Multiply 8 and 2 to get 16.
\frac{2\times 1x}{16}+\frac{7x}{16}+28=x
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and 16 is 16. Multiply \frac{1x}{8} times \frac{2}{2}.
\frac{2\times 1x+7x}{16}+28=x
Since \frac{2\times 1x}{16} and \frac{7x}{16} have the same denominator, add them by adding their numerators.
\frac{2x+7x}{16}+28=x
Do the multiplications in 2\times 1x+7x.
\frac{9x}{16}+28=x
Combine like terms in 2x+7x.
\frac{9x}{16}+28-x=0
Subtract x from both sides.
\frac{9x}{16}-x=-28
Subtract 28 from both sides. Anything subtracted from zero gives its negation.
9x-16x=-448
Multiply both sides of the equation by 16.
-7x=-448
Combine 9x and -16x to get -7x.
x=\frac{-448}{-7}
Divide both sides by -7.
x=64
Divide -448 by -7 to get 64.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}