7x-35=2x-5

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Solution for 7x-35=2x-5 equation:


Simplifying
7x + -35 = 2x + -5

Reorder the terms:
-35 + 7x = 2x + -5

Reorder the terms:
-35 + 7x = -5 + 2x

Solving
-35 + 7x = -5 + 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.
-35 + 7x + -2x = -5 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-35 + 5x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-35 + 5x = -5 + 0
-35 + 5x = -5

Add '35' to each side of the equation.
-35 + 35 + 5x = -5 + 35

Combine like terms: -35 + 35 = 0
0 + 5x = -5 + 35
5x = -5 + 35

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

Divide each side by '5'.
x = 6

Simplifying
x = 6

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