13x=(4+x)*2-3x-(4-x)*2

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Solution for 13x=(4+x)*2-3x-(4-x)*2 equation:


Simplifying
13x = (4 + x) * 2 + -3x + -1(4 + -1x) * 2

Reorder the terms for easier multiplication:
13x = 2(4 + x) + -3x + -1(4 + -1x) * 2
13x = (4 * 2 + x * 2) + -3x + -1(4 + -1x) * 2
13x = (8 + 2x) + -3x + -1(4 + -1x) * 2

Reorder the terms for easier multiplication:
13x = 8 + 2x + -3x + -1 * 2(4 + -1x)

Multiply -1 * 2
13x = 8 + 2x + -3x + -2(4 + -1x)
13x = 8 + 2x + -3x + (4 * -2 + -1x * -2)
13x = 8 + 2x + -3x + (-8 + 2x)

Reorder the terms:
13x = 8 + -8 + 2x + -3x + 2x

Combine like terms: 8 + -8 = 0
13x = 0 + 2x + -3x + 2x
13x = 2x + -3x + 2x

Combine like terms: 2x + -3x = -1x
13x = -1x + 2x

Combine like terms: -1x + 2x = 1x
13x = 1x

Solving
13x = 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13x + -1x = 1x + -1x

Combine like terms: 13x + -1x = 12x
12x = 1x + -1x

Combine like terms: 1x + -1x = 0
12x = 0

Divide each side by '12'.
x = 0

Simplifying
x = 0

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