10x-17=7x+1

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Solution for 10x-17=7x+1 equation:


Simplifying
10x + -17 = 7x + 1

Reorder the terms:
-17 + 10x = 7x + 1

Reorder the terms:
-17 + 10x = 1 + 7x

Solving
-17 + 10x = 1 + 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.
-17 + 10x + -7x = 1 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-17 + 3x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-17 + 3x = 1 + 0
-17 + 3x = 1

Add '17' to each side of the equation.
-17 + 17 + 3x = 1 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = 1 + 17
3x = 1 + 17

Combine like terms: 1 + 17 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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