32-(2x+6)=2(x+3)+x

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Solution for 32-(2x+6)=2(x+3)+x equation:


Simplifying
32 + -1(2x + 6) = 2(x + 3) + x

Reorder the terms:
32 + -1(6 + 2x) = 2(x + 3) + x
32 + (6 * -1 + 2x * -1) = 2(x + 3) + x
32 + (-6 + -2x) = 2(x + 3) + x

Combine like terms: 32 + -6 = 26
26 + -2x = 2(x + 3) + x

Reorder the terms:
26 + -2x = 2(3 + x) + x
26 + -2x = (3 * 2 + x * 2) + x
26 + -2x = (6 + 2x) + x

Combine like terms: 2x + x = 3x
26 + -2x = 6 + 3x

Solving
26 + -2x = 6 + 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.
26 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
26 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -5x = 6 + 0
26 + -5x = 6

Add '-26' to each side of the equation.
26 + -26 + -5x = 6 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = 6 + -26
-5x = 6 + -26

Combine like terms: 6 + -26 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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