5(x+6)+6=7(x+2)-4

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Solution for 5(x+6)+6=7(x+2)-4 equation: 


Simplifying
5(x + 6) + 6 = 7(x + 2) + -4

Reorder the terms:
5(6 + x) + 6 = 7(x + 2) + -4
(6 * 5 + x * 5) + 6 = 7(x + 2) + -4
(30 + 5x) + 6 = 7(x + 2) + -4

Reorder the terms:
30 + 6 + 5x = 7(x + 2) + -4

Combine like terms: 30 + 6 = 36
36 + 5x = 7(x + 2) + -4

Reorder the terms:
36 + 5x = 7(2 + x) + -4
36 + 5x = (2 * 7 + x * 7) + -4
36 + 5x = (14 + 7x) + -4

Reorder the terms:
36 + 5x = 14 + -4 + 7x

Combine like terms: 14 + -4 = 10
36 + 5x = 10 + 7x

Solving
36 + 5x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
36 + 5x + -7x = 10 + 7x + -7x

Combine like terms: 5x + -7x = -2x
36 + -2x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
36 + -2x = 10 + 0
36 + -2x = 10

Add '-36' to each side of the equation.
36 + -36 + -2x = 10 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = 10 + -36
-2x = 10 + -36

Combine like terms: 10 + -36 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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