5x-45=3x-7

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Solution for 5x-45=3x-7 equation:


Simplifying
5x + -45 = 3x + -7

Reorder the terms:
-45 + 5x = 3x + -7

Reorder the terms:
-45 + 5x = -7 + 3x

Solving
-45 + 5x = -7 + 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 + 5x + -3x = -7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-45 + 2x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-45 + 2x = -7 + 0
-45 + 2x = -7

Add '45' to each side of the equation.
-45 + 45 + 2x = -7 + 45

Combine like terms: -45 + 45 = 0
0 + 2x = -7 + 45
2x = -7 + 45

Combine like terms: -7 + 45 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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