(4x+6)-(2x+6)=6x-8

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Solution for (4x+6)-(2x+6)=6x-8 equation:


Simplifying
(4x + 6) + -1(2x + 6) = 6x + -8

Reorder the terms:
(6 + 4x) + -1(2x + 6) = 6x + -8

Remove parenthesis around (6 + 4x)
6 + 4x + -1(2x + 6) = 6x + -8

Reorder the terms:
6 + 4x + -1(6 + 2x) = 6x + -8
6 + 4x + (6 * -1 + 2x * -1) = 6x + -8
6 + 4x + (-6 + -2x) = 6x + -8

Reorder the terms:
6 + -6 + 4x + -2x = 6x + -8

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

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

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

Solving
2x = -8 + 6x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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