5x-15=7x+2

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Solution for 5x-15=7x+2 equation:


Simplifying
5x + -15 = 7x + 2

Reorder the terms:
-15 + 5x = 7x + 2

Reorder the terms:
-15 + 5x = 2 + 7x

Solving
-15 + 5x = 2 + 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.
-15 + 5x + -7x = 2 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-15 + -2x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + -2x = 2 + 0
-15 + -2x = 2

Add '15' to each side of the equation.
-15 + 15 + -2x = 2 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 2 + 15
-2x = 2 + 15

Combine like terms: 2 + 15 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

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