5x-30=3x+7

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Solution for 5x-30=3x+7 equation:


Simplifying
5x + -30 = 3x + 7

Reorder the terms:
-30 + 5x = 3x + 7

Reorder the terms:
-30 + 5x = 7 + 3x

Solving
-30 + 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.
-30 + 5x + -3x = 7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-30 + 2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 2x = 7 + 0
-30 + 2x = 7

Add '30' to each side of the equation.
-30 + 30 + 2x = 7 + 30

Combine like terms: -30 + 30 = 0
0 + 2x = 7 + 30
2x = 7 + 30

Combine like terms: 7 + 30 = 37
2x = 37

Divide each side by '2'.
x = 18.5

Simplifying
x = 18.5

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