45-2x=3x-20

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Solution for 45-2x=3x-20 equation:


Simplifying
45 + -2x = 3x + -20

Reorder the terms:
45 + -2x = -20 + 3x

Solving
45 + -2x = -20 + 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.
45 + -2x + -3x = -20 + 3x + -3x

Combine like terms: -2x + -3x = -5x
45 + -5x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
45 + -5x = -20 + 0
45 + -5x = -20

Add '-45' to each side of the equation.
45 + -45 + -5x = -20 + -45

Combine like terms: 45 + -45 = 0
0 + -5x = -20 + -45
-5x = -20 + -45

Combine like terms: -20 + -45 = -65
-5x = -65

Divide each side by '-5'.
x = 13

Simplifying
x = 13

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