(x+5)-2(4-4x)=2(x+4)-4

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Solution for (x+5)-2(4-4x)=2(x+4)-4 equation:


Simplifying
(x + 5) + -2(4 + -4x) = 2(x + 4) + -4

Reorder the terms:
(5 + x) + -2(4 + -4x) = 2(x + 4) + -4

Remove parenthesis around (5 + x)
5 + x + -2(4 + -4x) = 2(x + 4) + -4
5 + x + (4 * -2 + -4x * -2) = 2(x + 4) + -4
5 + x + (-8 + 8x) = 2(x + 4) + -4

Reorder the terms:
5 + -8 + x + 8x = 2(x + 4) + -4

Combine like terms: 5 + -8 = -3
-3 + x + 8x = 2(x + 4) + -4

Combine like terms: x + 8x = 9x
-3 + 9x = 2(x + 4) + -4

Reorder the terms:
-3 + 9x = 2(4 + x) + -4
-3 + 9x = (4 * 2 + x * 2) + -4
-3 + 9x = (8 + 2x) + -4

Reorder the terms:
-3 + 9x = 8 + -4 + 2x

Combine like terms: 8 + -4 = 4
-3 + 9x = 4 + 2x

Solving
-3 + 9x = 4 + 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.
-3 + 9x + -2x = 4 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-3 + 7x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 7x = 4 + 0
-3 + 7x = 4

Add '3' to each side of the equation.
-3 + 3 + 7x = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 4 + 3
7x = 4 + 3

Combine like terms: 4 + 3 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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