2x+53=5x-7

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Solution for 2x+53=5x-7 equation:


Simplifying
2x + 53 = 5x + -7

Reorder the terms:
53 + 2x = 5x + -7

Reorder the terms:
53 + 2x = -7 + 5x

Solving
53 + 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.
53 + 2x + -5x = -7 + 5x + -5x

Combine like terms: 2x + -5x = -3x
53 + -3x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
53 + -3x = -7 + 0
53 + -3x = -7

Add '-53' to each side of the equation.
53 + -53 + -3x = -7 + -53

Combine like terms: 53 + -53 = 0
0 + -3x = -7 + -53
-3x = -7 + -53

Combine like terms: -7 + -53 = -60
-3x = -60

Divide each side by '-3'.
x = 20

Simplifying
x = 20

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