6(x+7)+x=2(x+3)+7

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Solution for 6(x+7)+x=2(x+3)+7 equation:


Simplifying
6(x + 7) + x = 2(x + 3) + 7

Reorder the terms:
6(7 + x) + x = 2(x + 3) + 7
(7 * 6 + x * 6) + x = 2(x + 3) + 7
(42 + 6x) + x = 2(x + 3) + 7

Combine like terms: 6x + x = 7x
42 + 7x = 2(x + 3) + 7

Reorder the terms:
42 + 7x = 2(3 + x) + 7
42 + 7x = (3 * 2 + x * 2) + 7
42 + 7x = (6 + 2x) + 7

Reorder the terms:
42 + 7x = 6 + 7 + 2x

Combine like terms: 6 + 7 = 13
42 + 7x = 13 + 2x

Solving
42 + 7x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
42 + 7x + -2x = 13 + 2x + -2x

Combine like terms: 7x + -2x = 5x
42 + 5x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
42 + 5x = 13 + 0
42 + 5x = 13

Add '-42' to each side of the equation.
42 + -42 + 5x = 13 + -42

Combine like terms: 42 + -42 = 0
0 + 5x = 13 + -42
5x = 13 + -42

Combine like terms: 13 + -42 = -29
5x = -29

Divide each side by '5'.
x = -5.8

Simplifying
x = -5.8

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