8(x-1)-(4x-20)=4x-2(x-16)

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Solution for 8(x-1)-(4x-20)=4x-2(x-16) equation:


Simplifying
8(x + -1) + -1(4x + -20) = 4x + -2(x + -16)

Reorder the terms:
8(-1 + x) + -1(4x + -20) = 4x + -2(x + -16)
(-1 * 8 + x * 8) + -1(4x + -20) = 4x + -2(x + -16)
(-8 + 8x) + -1(4x + -20) = 4x + -2(x + -16)

Reorder the terms:
-8 + 8x + -1(-20 + 4x) = 4x + -2(x + -16)
-8 + 8x + (-20 * -1 + 4x * -1) = 4x + -2(x + -16)
-8 + 8x + (20 + -4x) = 4x + -2(x + -16)

Reorder the terms:
-8 + 20 + 8x + -4x = 4x + -2(x + -16)

Combine like terms: -8 + 20 = 12
12 + 8x + -4x = 4x + -2(x + -16)

Combine like terms: 8x + -4x = 4x
12 + 4x = 4x + -2(x + -16)

Reorder the terms:
12 + 4x = 4x + -2(-16 + x)
12 + 4x = 4x + (-16 * -2 + x * -2)
12 + 4x = 4x + (32 + -2x)

Reorder the terms:
12 + 4x = 32 + 4x + -2x

Combine like terms: 4x + -2x = 2x
12 + 4x = 32 + 2x

Solving
12 + 4x = 32 + 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.
12 + 4x + -2x = 32 + 2x + -2x

Combine like terms: 4x + -2x = 2x
12 + 2x = 32 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 2x = 32 + 0
12 + 2x = 32

Add '-12' to each side of the equation.
12 + -12 + 2x = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 32 + -12
2x = 32 + -12

Combine like terms: 32 + -12 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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