5x-45=2x-30

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Solution for 5x-45=2x-30 equation:


Simplifying
5x + -45 = 2x + -30

Reorder the terms:
-45 + 5x = 2x + -30

Reorder the terms:
-45 + 5x = -30 + 2x

Solving
-45 + 5x = -30 + 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.
-45 + 5x + -2x = -30 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-45 + 3x = -30 + 2x + -2x

Combine like terms: 2x + -2x = 0
-45 + 3x = -30 + 0
-45 + 3x = -30

Add '45' to each side of the equation.
-45 + 45 + 3x = -30 + 45

Combine like terms: -45 + 45 = 0
0 + 3x = -30 + 45
3x = -30 + 45

Combine like terms: -30 + 45 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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