6(x+6)+x=3(x+3)+7

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Solution for 6(x+6)+x=3(x+3)+7 equation: 


Simplifying
6(x + 6) + x = 3(x + 3) + 7

Reorder the terms:
6(6 + x) + x = 3(x + 3) + 7
(6 * 6 + x * 6) + x = 3(x + 3) + 7
(36 + 6x) + x = 3(x + 3) + 7

Combine like terms: 6x + x = 7x
36 + 7x = 3(x + 3) + 7

Reorder the terms:
36 + 7x = 3(3 + x) + 7
36 + 7x = (3 * 3 + x * 3) + 7
36 + 7x = (9 + 3x) + 7

Reorder the terms:
36 + 7x = 9 + 7 + 3x

Combine like terms: 9 + 7 = 16
36 + 7x = 16 + 3x

Solving
36 + 7x = 16 + 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.
36 + 7x + -3x = 16 + 3x + -3x

Combine like terms: 7x + -3x = 4x
36 + 4x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 4x = 16 + 0
36 + 4x = 16

Add '-36' to each side of the equation.
36 + -36 + 4x = 16 + -36

Combine like terms: 36 + -36 = 0
0 + 4x = 16 + -36
4x = 16 + -36

Combine like terms: 16 + -36 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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