2x+9+3x-4=45

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Solution for 2x+9+3x-4=45 equation:


Simplifying
2x + 9 + 3x + -4 = 45

Reorder the terms:
9 + -4 + 2x + 3x = 45

Combine like terms: 9 + -4 = 5
5 + 2x + 3x = 45

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

Solving
5 + 5x = 45

Solving for variable 'x'.

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

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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