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

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


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

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

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

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

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

Combine like terms: 6 + 2 = 8
18 + 4x = 8 + 2x

Solving
18 + 4x = 8 + 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 + 4x + -2x = 8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
18 + 2x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 2x = 8 + 0
18 + 2x = 8

Add '-18' to each side of the equation.
18 + -18 + 2x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = 8 + -18
2x = 8 + -18

Combine like terms: 8 + -18 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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