6(x+3)+x=2(x+3)-4

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Solution for 6(x+3)+x=2(x+3)-4 equation:


Simplifying
6(x + 3) + x = 2(x + 3) + -4

Reorder the terms:
6(3 + x) + x = 2(x + 3) + -4
(3 * 6 + x * 6) + x = 2(x + 3) + -4
(18 + 6x) + x = 2(x + 3) + -4

Combine like terms: 6x + x = 7x
18 + 7x = 2(x + 3) + -4

Reorder the terms:
18 + 7x = 2(3 + x) + -4
18 + 7x = (3 * 2 + x * 2) + -4
18 + 7x = (6 + 2x) + -4

Reorder the terms:
18 + 7x = 6 + -4 + 2x

Combine like terms: 6 + -4 = 2
18 + 7x = 2 + 2x

Solving
18 + 7x = 2 + 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.
18 + 7x + -2x = 2 + 2x + -2x

Combine like terms: 7x + -2x = 5x
18 + 5x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 5x = 2 + 0
18 + 5x = 2

Add '-18' to each side of the equation.
18 + -18 + 5x = 2 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 2 + -18
5x = 2 + -18

Combine like terms: 2 + -18 = -16
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2

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