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

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


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

Reorder the terms:
-2(5 + x) + 6 = 3(x + 4) + 2
(5 * -2 + x * -2) + 6 = 3(x + 4) + 2
(-10 + -2x) + 6 = 3(x + 4) + 2

Reorder the terms:
-10 + 6 + -2x = 3(x + 4) + 2

Combine like terms: -10 + 6 = -4
-4 + -2x = 3(x + 4) + 2

Reorder the terms:
-4 + -2x = 3(4 + x) + 2
-4 + -2x = (4 * 3 + x * 3) + 2
-4 + -2x = (12 + 3x) + 2

Reorder the terms:
-4 + -2x = 12 + 2 + 3x

Combine like terms: 12 + 2 = 14
-4 + -2x = 14 + 3x

Solving
-4 + -2x = 14 + 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 = 14 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-4 + -5x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -5x = 14 + 0
-4 + -5x = 14

Add '4' to each side of the equation.
-4 + 4 + -5x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 14 + 4
-5x = 14 + 4

Combine like terms: 14 + 4 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6

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