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

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

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

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

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

Solving
-32 + 4x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-32 + 4x + -2x = -6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-32 + 2x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 2x = -6 + 0
-32 + 2x = -6

Add '32' to each side of the equation.
-32 + 32 + 2x = -6 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = -6 + 32
2x = -6 + 32

Combine like terms: -6 + 32 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13