2x+13=3x-17

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Solution for 2x+13=3x-17 equation:


Simplifying
2x + 13 = 3x + -17

Reorder the terms:
13 + 2x = 3x + -17

Reorder the terms:
13 + 2x = -17 + 3x

Solving
13 + 2x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + 2x + -3x = -17 + 3x + -3x

Combine like terms: 2x + -3x = -1x
13 + -1x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -1x = -17 + 0
13 + -1x = -17

Add '-13' to each side of the equation.
13 + -13 + -1x = -17 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = -17 + -13
-1x = -17 + -13

Combine like terms: -17 + -13 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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