7x-5=10x-x-15

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Solution for 7x-5=10x-x-15 equation:


Simplifying
7x + -5 = 10x + -1x + -15

Reorder the terms:
-5 + 7x = 10x + -1x + -15

Reorder the terms:
-5 + 7x = -15 + 10x + -1x

Combine like terms: 10x + -1x = 9x
-5 + 7x = -15 + 9x

Solving
-5 + 7x = -15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + 7x + -9x = -15 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-5 + -2x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -2x = -15 + 0
-5 + -2x = -15

Add '5' to each side of the equation.
-5 + 5 + -2x = -15 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -15 + 5
-2x = -15 + 5

Combine like terms: -15 + 5 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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