13x-2(3x-4)=6(x+2)-4

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Solution for 13x-2(3x-4)=6(x+2)-4 equation:


Simplifying
13x + -2(3x + -4) = 6(x + 2) + -4

Reorder the terms:
13x + -2(-4 + 3x) = 6(x + 2) + -4
13x + (-4 * -2 + 3x * -2) = 6(x + 2) + -4
13x + (8 + -6x) = 6(x + 2) + -4

Reorder the terms:
8 + 13x + -6x = 6(x + 2) + -4

Combine like terms: 13x + -6x = 7x
8 + 7x = 6(x + 2) + -4

Reorder the terms:
8 + 7x = 6(2 + x) + -4
8 + 7x = (2 * 6 + x * 6) + -4
8 + 7x = (12 + 6x) + -4

Reorder the terms:
8 + 7x = 12 + -4 + 6x

Combine like terms: 12 + -4 = 8
8 + 7x = 8 + 6x

Add '-8' to each side of the equation.
8 + -8 + 7x = 8 + -8 + 6x

Combine like terms: 8 + -8 = 0
0 + 7x = 8 + -8 + 6x
7x = 8 + -8 + 6x

Combine like terms: 8 + -8 = 0
7x = 0 + 6x
7x = 6x

Solving
7x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7x + -6x = 6x + -6x

Combine like terms: 7x + -6x = 1x
1x = 6x + -6x

Combine like terms: 6x + -6x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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