2(x+4)-6=4x+7-x

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Solution for 2(x+4)-6=4x+7-x equation:


Simplifying
2(x + 4) + -6 = 4x + 7 + -1x

Reorder the terms:
2(4 + x) + -6 = 4x + 7 + -1x
(4 * 2 + x * 2) + -6 = 4x + 7 + -1x
(8 + 2x) + -6 = 4x + 7 + -1x

Reorder the terms:
8 + -6 + 2x = 4x + 7 + -1x

Combine like terms: 8 + -6 = 2
2 + 2x = 4x + 7 + -1x

Reorder the terms:
2 + 2x = 7 + 4x + -1x

Combine like terms: 4x + -1x = 3x
2 + 2x = 7 + 3x

Solving
2 + 2x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 2x + -3x = 7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = 7 + 0
2 + -1x = 7

Add '-2' to each side of the equation.
2 + -2 + -1x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 7 + -2
-1x = 7 + -2

Combine like terms: 7 + -2 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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