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

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


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

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

Reorder the terms:
-5 + 2x = 5(2 + x) + -3
-5 + 2x = (2 * 5 + x * 5) + -3
-5 + 2x = (10 + 5x) + -3

Reorder the terms:
-5 + 2x = 10 + -3 + 5x

Combine like terms: 10 + -3 = 7
-5 + 2x = 7 + 5x

Solving
-5 + 2x = 7 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-5 + 2x + -5x = 7 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-5 + -3x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -3x = 7 + 0
-5 + -3x = 7

Add '5' to each side of the equation.
-5 + 5 + -3x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 7 + 5
-3x = 7 + 5

Combine like terms: 7 + 5 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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