Solve for x
x=5
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3x+7=3x\times \frac{8}{3}-3\times 6
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of 3x,3,x.
3x+7=8x-3\times 6
Multiply 3 and \frac{8}{3} to get 8.
3x+7=8x-18
Multiply -3 and 6 to get -18.
3x+7-8x=-18
Subtract 8x from both sides.
-5x+7=-18
Combine 3x and -8x to get -5x.
-5x=-18-7
Subtract 7 from both sides.
-5x=-25
Subtract 7 from -18 to get -25.
x=\frac{-25}{-5}
Divide both sides by -5.
x=5
Divide -25 by -5 to get 5.
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