4x+20=13x-52

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Solution for 4x+20=13x-52 equation:


Simplifying
4x + 20 = 13x + -52

Reorder the terms:
20 + 4x = 13x + -52

Reorder the terms:
20 + 4x = -52 + 13x

Solving
20 + 4x = -52 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
20 + 4x + -13x = -52 + 13x + -13x

Combine like terms: 4x + -13x = -9x
20 + -9x = -52 + 13x + -13x

Combine like terms: 13x + -13x = 0
20 + -9x = -52 + 0
20 + -9x = -52

Add '-20' to each side of the equation.
20 + -20 + -9x = -52 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = -52 + -20
-9x = -52 + -20

Combine like terms: -52 + -20 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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