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

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


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

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

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

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

Reorder the terms:
-2 + -2x = 3(3 + x) + 8
-2 + -2x = (3 * 3 + x * 3) + 8
-2 + -2x = (9 + 3x) + 8

Reorder the terms:
-2 + -2x = 9 + 8 + 3x

Combine like terms: 9 + 8 = 17
-2 + -2x = 17 + 3x

Solving
-2 + -2x = 17 + 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.
-2 + -2x + -3x = 17 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-2 + -5x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -5x = 17 + 0
-2 + -5x = 17

Add '2' to each side of the equation.
-2 + 2 + -5x = 17 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 17 + 2
-5x = 17 + 2

Combine like terms: 17 + 2 = 19
-5x = 19

Divide each side by '-5'.
x = -3.8

Simplifying
x = -3.8

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