10-4(x-8)=2(x-3)

Solution for 10-4(x-8)=2(x-3) equation:

Simplifying
10 + -4(x + -8) = 2(x + -3)

Reorder the terms:
10 + -4(-8 + x) = 2(x + -3)
10 + (-8 * -4 + x * -4) = 2(x + -3)
10 + (32 + -4x) = 2(x + -3)

Combine like terms: 10 + 32 = 42
42 + -4x = 2(x + -3)

Reorder the terms:
42 + -4x = 2(-3 + x)
42 + -4x = (-3 * 2 + x * 2)
42 + -4x = (-6 + 2x)

Solving
42 + -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.
42 + -4x + -2x = -6 + 2x + -2x

Combine like terms: -4x + -2x = -6x
42 + -6x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
42 + -6x = -6 + 0
42 + -6x = -6

Add '-42' to each side of the equation.
42 + -42 + -6x = -6 + -42

Combine like terms: 42 + -42 = 0
0 + -6x = -6 + -42
-6x = -6 + -42

Combine like terms: -6 + -42 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8