4(x+4)*2+4(x)*2=80*2

Solution for 4(x+4)*2+4(x)*2=80*2 equation:

Simplifying
4(x + 4) * 2 + 4(x) * 2 = 80 * 2

Reorder the terms:
4(4 + x) * 2 + 4(x) * 2 = 80 * 2

Reorder the terms for easier multiplication:
4 * 2(4 + x) + 4(x) * 2 = 80 * 2

Multiply 4 * 2
8(4 + x) + 4(x) * 2 = 80 * 2
(4 * 8 + x * 8) + 4(x) * 2 = 80 * 2
(32 + 8x) + 4(x) * 2 = 80 * 2

Reorder the terms for easier multiplication:
32 + 8x + 4 * 2x = 80 * 2

Multiply 4 * 2
32 + 8x + 8x = 80 * 2

Combine like terms: 8x + 8x = 16x
32 + 16x = 80 * 2

Multiply 80 * 2
32 + 16x = 160

Solving
32 + 16x = 160

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 16x = 160 + -32

Combine like terms: 32 + -32 = 0
0 + 16x = 160 + -32
16x = 160 + -32

Combine like terms: 160 + -32 = 128
16x = 128

Divide each side by '16'.
x = 8

Simplifying
x = 8