2-2(3x-4)=8-2(5+x)

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Solution for 2-2(3x-4)=8-2(5+x) equation:


Simplifying
2 + -2(3x + -4) = 8 + -2(5 + x)

Reorder the terms:
2 + -2(-4 + 3x) = 8 + -2(5 + x)
2 + (-4 * -2 + 3x * -2) = 8 + -2(5 + x)
2 + (8 + -6x) = 8 + -2(5 + x)

Combine like terms: 2 + 8 = 10
10 + -6x = 8 + -2(5 + x)
10 + -6x = 8 + (5 * -2 + x * -2)
10 + -6x = 8 + (-10 + -2x)

Combine like terms: 8 + -10 = -2
10 + -6x = -2 + -2x

Solving
10 + -6x = -2 + -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.
10 + -6x + 2x = -2 + -2x + 2x

Combine like terms: -6x + 2x = -4x
10 + -4x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + -4x = -2 + 0
10 + -4x = -2

Add '-10' to each side of the equation.
10 + -10 + -4x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -2 + -10
-4x = -2 + -10

Combine like terms: -2 + -10 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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