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

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


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

Reorder the terms:
6(2 + x) + x = 2(x + 2) + -4
(2 * 6 + x * 6) + x = 2(x + 2) + -4
(12 + 6x) + x = 2(x + 2) + -4

Combine like terms: 6x + x = 7x
12 + 7x = 2(x + 2) + -4

Reorder the terms:
12 + 7x = 2(2 + x) + -4
12 + 7x = (2 * 2 + x * 2) + -4
12 + 7x = (4 + 2x) + -4

Reorder the terms:
12 + 7x = 4 + -4 + 2x

Combine like terms: 4 + -4 = 0
12 + 7x = 0 + 2x
12 + 7x = 2x

Solving
12 + 7x = 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.
12 + 7x + -2x = 2x + -2x

Combine like terms: 7x + -2x = 5x
12 + 5x = 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 5x = 0

Add '-12' to each side of the equation.
12 + -12 + 5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 0 + -12
5x = 0 + -12

Combine like terms: 0 + -12 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4

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