3x+5=45-2x

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


Simplifying
3x + 5 = 45 + -2x

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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