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

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Solution for 2(x+4)=6-1(3x-2)-1 equation:


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

Reorder the terms:
2(4 + x) = 6 + -1(3x + -2) + -1
(4 * 2 + x * 2) = 6 + -1(3x + -2) + -1
(8 + 2x) = 6 + -1(3x + -2) + -1

Reorder the terms:
8 + 2x = 6 + -1(-2 + 3x) + -1
8 + 2x = 6 + (-2 * -1 + 3x * -1) + -1
8 + 2x = 6 + (2 + -3x) + -1

Reorder the terms:
8 + 2x = 6 + 2 + -1 + -3x

Combine like terms: 6 + 2 = 8
8 + 2x = 8 + -1 + -3x

Combine like terms: 8 + -1 = 7
8 + 2x = 7 + -3x

Solving
8 + 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.
8 + 2x + 3x = 7 + -3x + 3x

Combine like terms: 2x + 3x = 5x
8 + 5x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 5x = 7 + 0
8 + 5x = 7

Add '-8' to each side of the equation.
8 + -8 + 5x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 7 + -8
5x = 7 + -8

Combine like terms: 7 + -8 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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