Solve for x
x=40
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7\times 24=6\left(x-12\right)
Variable x cannot be equal to 12 since division by zero is not defined. Multiply both sides of the equation by 7\left(x-12\right), the least common multiple of x-12,7.
168=6\left(x-12\right)
Multiply 7 and 24 to get 168.
168=6x-72
Use the distributive property to multiply 6 by x-12.
6x-72=168
Swap sides so that all variable terms are on the left hand side.
6x=168+72
Add 72 to both sides.
6x=240
Add 168 and 72 to get 240.
x=\frac{240}{6}
Divide both sides by 6.
x=40
Divide 240 by 6 to get 40.
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