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

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


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

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

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

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

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

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

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

Solving
5 + 2x = 4 + 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.
5 + 2x + -3x = 4 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
5 + -1x = 4 + 0
5 + -1x = 4

Add '-5' to each side of the equation.
5 + -5 + -1x = 4 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 4 + -5
-1x = 4 + -5

Combine like terms: 4 + -5 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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