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36x-4\left(x+1\right)=12-3x
Multiply both sides of the equation by 12, the least common multiple of 3,4.
36x-4x-4=12-3x
Use the distributive property to multiply -4 by x+1.
32x-4=12-3x
Combine 36x and -4x to get 32x.
32x-4+3x=12
Add 3x to both sides.
35x-4=12
Combine 32x and 3x to get 35x.
35x=12+4
Add 4 to both sides.
35x=16
Add 12 and 4 to get 16.
x=\frac{16}{35}
Divide both sides by 35.