2x-17=3(5-x)

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Solution for 2x-17=3(5-x) equation:


Simplifying
2x + -17 = 3(5 + -1x)

Reorder the terms:
-17 + 2x = 3(5 + -1x)
-17 + 2x = (5 * 3 + -1x * 3)
-17 + 2x = (15 + -3x)

Solving
-17 + 2x = 15 + -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 + 2x + 3x = 15 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-17 + 5x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-17 + 5x = 15 + 0
-17 + 5x = 15

Add '17' to each side of the equation.
-17 + 17 + 5x = 15 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 15 + 17
5x = 15 + 17

Combine like terms: 15 + 17 = 32
5x = 32

Divide each side by '5'.
x = 6.4

Simplifying
x = 6.4

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