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

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


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

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

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

Combine like terms: -4 + 3 = -1
-1 + -2x = 3(x + 5) + 6

Reorder the terms:
-1 + -2x = 3(5 + x) + 6
-1 + -2x = (5 * 3 + x * 3) + 6
-1 + -2x = (15 + 3x) + 6

Reorder the terms:
-1 + -2x = 15 + 6 + 3x

Combine like terms: 15 + 6 = 21
-1 + -2x = 21 + 3x

Solving
-1 + -2x = 21 + 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.
-1 + -2x + -3x = 21 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-1 + -5x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -5x = 21 + 0
-1 + -5x = 21

Add '1' to each side of the equation.
-1 + 1 + -5x = 21 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 21 + 1
-5x = 21 + 1

Combine like terms: 21 + 1 = 22
-5x = 22

Divide each side by '-5'.
x = -4.4

Simplifying
x = -4.4

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