10x-7=5x-17

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Solution for 10x-7=5x-17 equation:


Simplifying
10x + -7 = 5x + -17

Reorder the terms:
-7 + 10x = 5x + -17

Reorder the terms:
-7 + 10x = -17 + 5x

Solving
-7 + 10x = -17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + 10x + -5x = -17 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-7 + 5x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + 5x = -17 + 0
-7 + 5x = -17

Add '7' to each side of the equation.
-7 + 7 + 5x = -17 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = -17 + 7
5x = -17 + 7

Combine like terms: -17 + 7 = -10
5x = -10

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

Simplifying
x = -2

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