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

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


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

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

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

Combine like terms: -12 + 5 = -7
-7 + -2x = 3(x + 4) + 8

Reorder the terms:
-7 + -2x = 3(4 + x) + 8
-7 + -2x = (4 * 3 + x * 3) + 8
-7 + -2x = (12 + 3x) + 8

Reorder the terms:
-7 + -2x = 12 + 8 + 3x

Combine like terms: 12 + 8 = 20
-7 + -2x = 20 + 3x

Solving
-7 + -2x = 20 + 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.
-7 + -2x + -3x = 20 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-7 + -5x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + -5x = 20 + 0
-7 + -5x = 20

Add '7' to each side of the equation.
-7 + 7 + -5x = 20 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 20 + 7
-5x = 20 + 7

Combine like terms: 20 + 7 = 27
-5x = 27

Divide each side by '-5'.
x = -5.4

Simplifying
x = -5.4

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