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

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


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

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

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

Combine like terms: x + -4x = -3x
-2 + -3x = 7 + (2x + 6)

Reorder the terms:
-2 + -3x = 7 + (6 + 2x)

Remove parenthesis around (6 + 2x)
-2 + -3x = 7 + 6 + 2x

Combine like terms: 7 + 6 = 13
-2 + -3x = 13 + 2x

Solving
-2 + -3x = 13 + 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.
-2 + -3x + -2x = 13 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-2 + -5x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -5x = 13 + 0
-2 + -5x = 13

Add '2' to each side of the equation.
-2 + 2 + -5x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 13 + 2
-5x = 13 + 2

Combine like terms: 13 + 2 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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