2x+10=3x+13

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Solution for 2x+10=3x+13 equation:


Simplifying
2x + 10 = 3x + 13

Reorder the terms:
10 + 2x = 3x + 13

Reorder the terms:
10 + 2x = 13 + 3x

Solving
10 + 2x = 13 + 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.
10 + 2x + -3x = 13 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 13 + 0
10 + -1x = 13

Add '-10' to each side of the equation.
10 + -10 + -1x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 13 + -10
-1x = 13 + -10

Combine like terms: 13 + -10 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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