(2x-5)+52=5x-15

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Solution for (2x-5)+52=5x-15 equation:


Simplifying
(2x + -5) + 52 = 5x + -15

Reorder the terms:
(-5 + 2x) + 52 = 5x + -15

Remove parenthesis around (-5 + 2x)
-5 + 2x + 52 = 5x + -15

Reorder the terms:
-5 + 52 + 2x = 5x + -15

Combine like terms: -5 + 52 = 47
47 + 2x = 5x + -15

Reorder the terms:
47 + 2x = -15 + 5x

Solving
47 + 2x = -15 + 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.
47 + 2x + -5x = -15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
47 + -3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
47 + -3x = -15 + 0
47 + -3x = -15

Add '-47' to each side of the equation.
47 + -47 + -3x = -15 + -47

Combine like terms: 47 + -47 = 0
0 + -3x = -15 + -47
-3x = -15 + -47

Combine like terms: -15 + -47 = -62
-3x = -62

Divide each side by '-3'.
x = 20.66666667

Simplifying
x = 20.66666667

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