-2(x+6)+4=3(x+5)+8

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Solution for -2(x+6)+4=3(x+5)+8 equation: 


Simplifying
-2(x + 6) + 4 = 3(x + 5) + 8

Reorder the terms:
-2(6 + x) + 4 = 3(x + 5) + 8
(6 * -2 + x * -2) + 4 = 3(x + 5) + 8
(-12 + -2x) + 4 = 3(x + 5) + 8

Reorder the terms:
-12 + 4 + -2x = 3(x + 5) + 8

Combine like terms: -12 + 4 = -8
-8 + -2x = 3(x + 5) + 8

Reorder the terms:
-8 + -2x = 3(5 + x) + 8
-8 + -2x = (5 * 3 + x * 3) + 8
-8 + -2x = (15 + 3x) + 8

Reorder the terms:
-8 + -2x = 15 + 8 + 3x

Combine like terms: 15 + 8 = 23
-8 + -2x = 23 + 3x

Solving
-8 + -2x = 23 + 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 = 23 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-8 + -5x = 23 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -5x = 23 + 0
-8 + -5x = 23

Add '8' to each side of the equation.
-8 + 8 + -5x = 23 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 23 + 8
-5x = 23 + 8

Combine like terms: 23 + 8 = 31
-5x = 31

Divide each side by '-5'.
x = -6.2

Simplifying
x = -6.2

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