7x-5=3x+5

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


Simplifying
7x + -5 = 3x + 5

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

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

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

Combine like terms: 7x + -3x = 4x
-5 + 4x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 4x = 5 + 0
-5 + 4x = 5

Add '5' to each side of the equation.
-5 + 5 + 4x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 5 + 5
4x = 5 + 5

Combine like terms: 5 + 5 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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