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

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


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

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

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

Reorder the terms:
6 + 6x = 2(4 + x) + 2
6 + 6x = (4 * 2 + x * 2) + 2
6 + 6x = (8 + 2x) + 2

Reorder the terms:
6 + 6x = 8 + 2 + 2x

Combine like terms: 8 + 2 = 10
6 + 6x = 10 + 2x

Solving
6 + 6x = 10 + 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.
6 + 6x + -2x = 10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = 10 + 0
6 + 4x = 10

Add '-6' to each side of the equation.
6 + -6 + 4x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 10 + -6
4x = 10 + -6

Combine like terms: 10 + -6 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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