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

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


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

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

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

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

Reorder the terms:
-1 + -2x = 3(3 + x) + 4
-1 + -2x = (3 * 3 + x * 3) + 4
-1 + -2x = (9 + 3x) + 4

Reorder the terms:
-1 + -2x = 9 + 4 + 3x

Combine like terms: 9 + 4 = 13
-1 + -2x = 13 + 3x

Solving
-1 + -2x = 13 + 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 = 13 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-1 + -5x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -5x = 13 + 0
-1 + -5x = 13

Add '1' to each side of the equation.
-1 + 1 + -5x = 13 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 13 + 1
-5x = 13 + 1

Combine like terms: 13 + 1 = 14
-5x = 14

Divide each side by '-5'.
x = -2.8

Simplifying
x = -2.8

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