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4\left(x+1\right)-\left(4-3x\right)=8
Multiply both sides of the equation by 8, the least common multiple of 2,8.
4x+4-\left(4-3x\right)=8
Use the distributive property to multiply 4 by x+1.
4x+4-4-\left(-3x\right)=8
To find the opposite of 4-3x, find the opposite of each term.
4x+4-4+3x=8
The opposite of -3x is 3x.
4x+3x=8
Subtract 4 from 4 to get 0.
7x=8
Combine 4x and 3x to get 7x.
x=\frac{8}{7}
Divide both sides by 7.