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

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


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

Reorder the terms:
2(4 + x) = 3x + 6 + x
(4 * 2 + x * 2) = 3x + 6 + x
(8 + 2x) = 3x + 6 + x

Reorder the terms:
8 + 2x = 6 + 3x + x

Combine like terms: 3x + x = 4x
8 + 2x = 6 + 4x

Solving
8 + 2x = 6 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
8 + 2x + -4x = 6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
8 + -2x = 6 + 0
8 + -2x = 6

Add '-8' to each side of the equation.
8 + -8 + -2x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 6 + -8
-2x = 6 + -8

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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