Solve for a
a=7
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6a=7\left(a-1\right)
Multiply both sides of the equation by 42, the least common multiple of 7,6.
6a=7a-7
Use the distributive property to multiply 7 by a-1.
6a-7a=-7
Subtract 7a from both sides.
-a=-7
Combine 6a and -7a to get -a.
a=7
Multiply both sides by -1.
Examples
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Linear equation
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
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Limits
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