5x-75=3x+7

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Solution for 5x-75=3x+7 equation:


Simplifying
5x + -75 = 3x + 7

Reorder the terms:
-75 + 5x = 3x + 7

Reorder the terms:
-75 + 5x = 7 + 3x

Solving
-75 + 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.
-75 + 5x + -3x = 7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-75 + 2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-75 + 2x = 7 + 0
-75 + 2x = 7

Add '75' to each side of the equation.
-75 + 75 + 2x = 7 + 75

Combine like terms: -75 + 75 = 0
0 + 2x = 7 + 75
2x = 7 + 75

Combine like terms: 7 + 75 = 82
2x = 82

Divide each side by '2'.
x = 41

Simplifying
x = 41

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