6(x+2)-36=4x+6

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Solution for 6(x+2)-36=4x+6 equation:


Simplifying
6(x + 2) + -36 = 4x + 6

Reorder the terms:
6(2 + x) + -36 = 4x + 6
(2 * 6 + x * 6) + -36 = 4x + 6
(12 + 6x) + -36 = 4x + 6

Reorder the terms:
12 + -36 + 6x = 4x + 6

Combine like terms: 12 + -36 = -24
-24 + 6x = 4x + 6

Reorder the terms:
-24 + 6x = 6 + 4x

Solving
-24 + 6x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-24 + 6x + -4x = 6 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-24 + 2x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 2x = 6 + 0
-24 + 2x = 6

Add '24' to each side of the equation.
-24 + 24 + 2x = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 2x = 6 + 24
2x = 6 + 24

Combine like terms: 6 + 24 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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