Solve for x
x=4
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4\left(x+1\right)-3\left(x-4\right)=5x
Multiply both sides of the equation by 12, the least common multiple of 3,4,12.
4x+4-3\left(x-4\right)=5x
Use the distributive property to multiply 4 by x+1.
4x+4-3x+12=5x
Use the distributive property to multiply -3 by x-4.
x+4+12=5x
Combine 4x and -3x to get x.
x+16=5x
Add 4 and 12 to get 16.
x+16-5x=0
Subtract 5x from both sides.
-4x+16=0
Combine x and -5x to get -4x.
-4x=-16
Subtract 16 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-16}{-4}
Divide both sides by -4.
x=4
Divide -16 by -4 to get 4.
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