Solve for a
a=48
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\frac{5}{8}a+6-\frac{3}{4}a=0
Subtract \frac{3}{4}a from both sides.
-\frac{1}{8}a+6=0
Combine \frac{5}{8}a and -\frac{3}{4}a to get -\frac{1}{8}a.
-\frac{1}{8}a=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
a=-6\left(-8\right)
Multiply both sides by -8, the reciprocal of -\frac{1}{8}.
a=48
Multiply -6 and -8 to get 48.
Examples
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y = 3x + 4
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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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