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

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


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

Reorder the terms:
7(6 + x) + x = 4(x + 2) + 6
(6 * 7 + x * 7) + x = 4(x + 2) + 6
(42 + 7x) + x = 4(x + 2) + 6

Combine like terms: 7x + x = 8x
42 + 8x = 4(x + 2) + 6

Reorder the terms:
42 + 8x = 4(2 + x) + 6
42 + 8x = (2 * 4 + x * 4) + 6
42 + 8x = (8 + 4x) + 6

Reorder the terms:
42 + 8x = 8 + 6 + 4x

Combine like terms: 8 + 6 = 14
42 + 8x = 14 + 4x

Solving
42 + 8x = 14 + 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.
42 + 8x + -4x = 14 + 4x + -4x

Combine like terms: 8x + -4x = 4x
42 + 4x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
42 + 4x = 14 + 0
42 + 4x = 14

Add '-42' to each side of the equation.
42 + -42 + 4x = 14 + -42

Combine like terms: 42 + -42 = 0
0 + 4x = 14 + -42
4x = 14 + -42

Combine like terms: 14 + -42 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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