4(x-8)=3(x+2)

Solution for 4(x-8)=3(x+2) equation:

Simplifying
4(x + -8) = 3(x + 2)

Reorder the terms:
4(-8 + x) = 3(x + 2)
(-8 * 4 + x * 4) = 3(x + 2)
(-32 + 4x) = 3(x + 2)

Reorder the terms:
-32 + 4x = 3(2 + x)
-32 + 4x = (2 * 3 + x * 3)
-32 + 4x = (6 + 3x)

Solving
-32 + 4x = 6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-32 + 4x + -3x = 6 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-32 + 1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + 1x = 6 + 0
-32 + 1x = 6

Add '32' to each side of the equation.
-32 + 32 + 1x = 6 + 32

Combine like terms: -32 + 32 = 0
0 + 1x = 6 + 32
1x = 6 + 32

Combine like terms: 6 + 32 = 38
1x = 38

Divide each side by '1'.
x = 38

Simplifying
x = 38