2x-8+3x-10=17

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Solution for 2x-8+3x-10=17 equation:


Simplifying
2x + -8 + 3x + -10 = 17

Reorder the terms:
-8 + -10 + 2x + 3x = 17

Combine like terms: -8 + -10 = -18
-18 + 2x + 3x = 17

Combine like terms: 2x + 3x = 5x
-18 + 5x = 17

Solving
-18 + 5x = 17

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 5x = 17 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 17 + 18
5x = 17 + 18

Combine like terms: 17 + 18 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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