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

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


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

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

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

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

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

Combine like terms: 15 + -2 = 13
2 + 2x = 13 + 3x

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

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

Combine like terms: 3x + -3x = 0
2 + -1x = 13 + 0
2 + -1x = 13

Add '-2' to each side of the equation.
2 + -2 + -1x = 13 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 13 + -2
-1x = 13 + -2

Combine like terms: 13 + -2 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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