3x-5=-7x+15

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Solution for 3x-5=-7x+15 equation:


Simplifying
3x + -5 = -7x + 15

Reorder the terms:
-5 + 3x = -7x + 15

Reorder the terms:
-5 + 3x = 15 + -7x

Solving
-5 + 3x = 15 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
-5 + 3x + 7x = 15 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-5 + 10x = 15 + -7x + 7x

Combine like terms: -7x + 7x = 0
-5 + 10x = 15 + 0
-5 + 10x = 15

Add '5' to each side of the equation.
-5 + 5 + 10x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 15 + 5
10x = 15 + 5

Combine like terms: 15 + 5 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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