10-5x+2x-13=-57

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Solution for 10-5x+2x-13=-57 equation:


Simplifying
10 + -5x + 2x + -13 = -57

Reorder the terms:
10 + -13 + -5x + 2x = -57

Combine like terms: 10 + -13 = -3
-3 + -5x + 2x = -57

Combine like terms: -5x + 2x = -3x
-3 + -3x = -57

Solving
-3 + -3x = -57

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -3x = -57 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -57 + 3
-3x = -57 + 3

Combine like terms: -57 + 3 = -54
-3x = -54

Divide each side by '-3'.
x = 18

Simplifying
x = 18

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