3x+28=13x-22

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Solution for 3x+28=13x-22 equation:


Simplifying
3x + 28 = 13x + -22

Reorder the terms:
28 + 3x = 13x + -22

Reorder the terms:
28 + 3x = -22 + 13x

Solving
28 + 3x = -22 + 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.
28 + 3x + -13x = -22 + 13x + -13x

Combine like terms: 3x + -13x = -10x
28 + -10x = -22 + 13x + -13x

Combine like terms: 13x + -13x = 0
28 + -10x = -22 + 0
28 + -10x = -22

Add '-28' to each side of the equation.
28 + -28 + -10x = -22 + -28

Combine like terms: 28 + -28 = 0
0 + -10x = -22 + -28
-10x = -22 + -28

Combine like terms: -22 + -28 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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