2-(3x-4)=2(x+5)+6

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Solution for 2-(3x-4)=2(x+5)+6 equation:


Simplifying
2 + -1(3x + -4) = 2(x + 5) + 6

Reorder the terms:
2 + -1(-4 + 3x) = 2(x + 5) + 6
2 + (-4 * -1 + 3x * -1) = 2(x + 5) + 6
2 + (4 + -3x) = 2(x + 5) + 6

Combine like terms: 2 + 4 = 6
6 + -3x = 2(x + 5) + 6

Reorder the terms:
6 + -3x = 2(5 + x) + 6
6 + -3x = (5 * 2 + x * 2) + 6
6 + -3x = (10 + 2x) + 6

Reorder the terms:
6 + -3x = 10 + 6 + 2x

Combine like terms: 10 + 6 = 16
6 + -3x = 16 + 2x

Solving
6 + -3x = 16 + 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.
6 + -3x + -2x = 16 + 2x + -2x

Combine like terms: -3x + -2x = -5x
6 + -5x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -5x = 16 + 0
6 + -5x = 16

Add '-6' to each side of the equation.
6 + -6 + -5x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 16 + -6
-5x = 16 + -6

Combine like terms: 16 + -6 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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