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

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


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

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

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

Combine like terms: -8 + 4 = -4
-4 + -2x = 3(x + 2) + 2

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

Reorder the terms:
-4 + -2x = 6 + 2 + 3x

Combine like terms: 6 + 2 = 8
-4 + -2x = 8 + 3x

Solving
-4 + -2x = 8 + 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.
-4 + -2x + -3x = 8 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-4 + -5x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -5x = 8 + 0
-4 + -5x = 8

Add '4' to each side of the equation.
-4 + 4 + -5x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 8 + 4
-5x = 8 + 4

Combine like terms: 8 + 4 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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