Solve for x
x=2
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4\left(x+4\right)=3\left(5x-2\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x+16=3\left(5x-2\right)
Use the distributive property to multiply 4 by x+4.
4x+16=15x-6
Use the distributive property to multiply 3 by 5x-2.
4x+16-15x=-6
Subtract 15x from both sides.
-11x+16=-6
Combine 4x and -15x to get -11x.
-11x=-6-16
Subtract 16 from both sides.
-11x=-22
Subtract 16 from -6 to get -22.
x=\frac{-22}{-11}
Divide both sides by -11.
x=2
Divide -22 by -11 to get 2.
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