7x-5=2x+30

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Solution for 7x-5=2x+30 equation:


Simplifying
7x + -5 = 2x + 30

Reorder the terms:
-5 + 7x = 2x + 30

Reorder the terms:
-5 + 7x = 30 + 2x

Solving
-5 + 7x = 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.
-5 + 7x + -2x = 30 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-5 + 5x = 30 + 0
-5 + 5x = 30

Add '5' to each side of the equation.
-5 + 5 + 5x = 30 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 30 + 5
5x = 30 + 5

Combine like terms: 30 + 5 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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