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2\left(2x-7\right)=3\left(x+1\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x-14=3\left(x+1\right)
Use the distributive property to multiply 2 by 2x-7.
4x-14=3x+3
Use the distributive property to multiply 3 by x+1.
4x-14-3x=3
Subtract 3x from both sides.
x-14=3
Combine 4x and -3x to get x.
x=3+14
Add 14 to both sides.
x=17
Add 3 and 14 to get 17.