Solve for x
x=-7
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7\left(x-2\right)+21=3\times 2x
Multiply both sides of the equation by 21, the least common multiple of 3,7.
7x-14+21=3\times 2x
Use the distributive property to multiply 7 by x-2.
7x+7=3\times 2x
Add -14 and 21 to get 7.
7x+7=6x
Multiply 3 and 2 to get 6.
7x+7-6x=0
Subtract 6x from both sides.
x+7=0
Combine 7x and -6x to get x.
x=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
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