3x+2=55+13x-3

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Solution for 3x+2=55+13x-3 equation:


Simplifying
3x + 2 = 55 + 13x + -3

Reorder the terms:
2 + 3x = 55 + 13x + -3

Reorder the terms:
2 + 3x = 55 + -3 + 13x

Combine like terms: 55 + -3 = 52
2 + 3x = 52 + 13x

Solving
2 + 3x = 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.
2 + 3x + -13x = 52 + 13x + -13x

Combine like terms: 3x + -13x = -10x
2 + -10x = 52 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -10x = 52 + 0
2 + -10x = 52

Add '-2' to each side of the equation.
2 + -2 + -10x = 52 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = 52 + -2
-10x = 52 + -2

Combine like terms: 52 + -2 = 50
-10x = 50

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

Simplifying
x = -5

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