13x+2=4(3x-1)+6

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Solution for 13x+2=4(3x-1)+6 equation:


Simplifying
13x + 2 = 4(3x + -1) + 6

Reorder the terms:
2 + 13x = 4(3x + -1) + 6

Reorder the terms:
2 + 13x = 4(-1 + 3x) + 6
2 + 13x = (-1 * 4 + 3x * 4) + 6
2 + 13x = (-4 + 12x) + 6

Reorder the terms:
2 + 13x = -4 + 6 + 12x

Combine like terms: -4 + 6 = 2
2 + 13x = 2 + 12x

Add '-2' to each side of the equation.
2 + -2 + 13x = 2 + -2 + 12x

Combine like terms: 2 + -2 = 0
0 + 13x = 2 + -2 + 12x
13x = 2 + -2 + 12x

Combine like terms: 2 + -2 = 0
13x = 0 + 12x
13x = 12x

Solving
13x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
13x + -12x = 12x + -12x

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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