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

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


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

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

Reorder the terms:
42 + 6x = 2(7 + x)
42 + 6x = (7 * 2 + x * 2)
42 + 6x = (14 + 2x)

Solving
42 + 6x = 14 + 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 + 6x + -2x = 14 + 2x + -2x

Combine like terms: 6x + -2x = 4x
42 + 4x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 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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