Solve for x
x=8
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2\left(x+7\right)=3\left(x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x+14=3\left(x+2\right)
Use the distributive property to multiply 2 by x+7.
2x+14=3x+6
Use the distributive property to multiply 3 by x+2.
2x+14-3x=6
Subtract 3x from both sides.
-x+14=6
Combine 2x and -3x to get -x.
-x=6-14
Subtract 14 from both sides.
-x=-8
Subtract 14 from 6 to get -8.
x=8
Multiply both sides by -1.
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