5x-17=3x-10

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Solution for 5x-17=3x-10 equation:


Simplifying
5x + -17 = 3x + -10

Reorder the terms:
-17 + 5x = 3x + -10

Reorder the terms:
-17 + 5x = -10 + 3x

Solving
-17 + 5x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-17 + 5x + -3x = -10 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-17 + 2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 2x = -10 + 0
-17 + 2x = -10

Add '17' to each side of the equation.
-17 + 17 + 2x = -10 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = -10 + 17
2x = -10 + 17

Combine like terms: -10 + 17 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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