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

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


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

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

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

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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
-2 + -5x = 14 + 0
-2 + -5x = 14

Add '2' to each side of the equation.
-2 + 2 + -5x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 14 + 2
-5x = 14 + 2

Combine like terms: 14 + 2 = 16
-5x = 16

Divide each side by '-5'.
x = -3.2

Simplifying
x = -3.2

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