13x+1=3(4x-2)+7

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Solution for 13x+1=3(4x-2)+7 equation:


Simplifying
13x + 1 = 3(4x + -2) + 7

Reorder the terms:
1 + 13x = 3(4x + -2) + 7

Reorder the terms:
1 + 13x = 3(-2 + 4x) + 7
1 + 13x = (-2 * 3 + 4x * 3) + 7
1 + 13x = (-6 + 12x) + 7

Reorder the terms:
1 + 13x = -6 + 7 + 12x

Combine like terms: -6 + 7 = 1
1 + 13x = 1 + 12x

Add '-1' to each side of the equation.
1 + -1 + 13x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0
0 + 13x = 1 + -1 + 12x
13x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 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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