12(x-3)-6=3x+13

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Solution for 12(x-3)-6=3x+13 equation:


Simplifying
12(x + -3) + -6 = 3x + 13

Reorder the terms:
12(-3 + x) + -6 = 3x + 13
(-3 * 12 + x * 12) + -6 = 3x + 13
(-36 + 12x) + -6 = 3x + 13

Reorder the terms:
-36 + -6 + 12x = 3x + 13

Combine like terms: -36 + -6 = -42
-42 + 12x = 3x + 13

Reorder the terms:
-42 + 12x = 13 + 3x

Solving
-42 + 12x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-42 + 12x + -3x = 13 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-42 + 9x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-42 + 9x = 13 + 0
-42 + 9x = 13

Add '42' to each side of the equation.
-42 + 42 + 9x = 13 + 42

Combine like terms: -42 + 42 = 0
0 + 9x = 13 + 42
9x = 13 + 42

Combine like terms: 13 + 42 = 55
9x = 55

Divide each side by '9'.
x = 6.111111111

Simplifying
x = 6.111111111

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