Solve for x
x=4
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7x-7\times 2=18+7x\left(-\frac{1}{7}\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7x, the least common multiple of x,7x,7.
7x-14=18+7x\left(-\frac{1}{7}\right)
Multiply -7 and 2 to get -14.
7x-14=18-x
Multiply 7 and -\frac{1}{7} to get -1.
7x-14+x=18
Add x to both sides.
8x-14=18
Combine 7x and x to get 8x.
8x=18+14
Add 14 to both sides.
8x=32
Add 18 and 14 to get 32.
x=\frac{32}{8}
Divide both sides by 8.
x=4
Divide 32 by 8 to get 4.
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