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

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


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

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

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

Reorder the terms:
-3 + 13x = 6 + -3 + 12x

Combine like terms: 6 + -3 = 3
-3 + 13x = 3 + 12x

Solving
-3 + 13x = 3 + 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.
-3 + 13x + -12x = 3 + 12x + -12x

Combine like terms: 13x + -12x = 1x
-3 + 1x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
-3 + 1x = 3 + 0
-3 + 1x = 3

Add '3' to each side of the equation.
-3 + 3 + 1x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 3 + 3
1x = 3 + 3

Combine like terms: 3 + 3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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