5x-17=x+10

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


Simplifying
5x + -17 = x + 10

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

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

Solving
-17 + 5x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-17 + 5x + -1x = 10 + x + -1x

Combine like terms: 5x + -1x = 4x
-17 + 4x = 10 + x + -1x

Combine like terms: x + -1x = 0
-17 + 4x = 10 + 0
-17 + 4x = 10

Add '17' to each side of the equation.
-17 + 17 + 4x = 10 + 17

Combine like terms: -17 + 17 = 0
0 + 4x = 10 + 17
4x = 10 + 17

Combine like terms: 10 + 17 = 27
4x = 27

Divide each side by '4'.
x = 6.75

Simplifying
x = 6.75

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