5-3x=2x+45

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Solution for 5-3x=2x+45 equation:


Simplifying
5 + -3x = 2x + 45

Reorder the terms:
5 + -3x = 45 + 2x

Solving
5 + -3x = 45 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + -3x + -2x = 45 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
5 + -5x = 45 + 0
5 + -5x = 45

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

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

Combine like terms: 45 + -5 = 40
-5x = 40

Divide each side by '-5'.
x = -8

Simplifying
x = -8

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