-5x+3=2x+17

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Solution for -5x+3=2x+17 equation:


Simplifying
-5x + 3 = 2x + 17

Reorder the terms:
3 + -5x = 2x + 17

Reorder the terms:
3 + -5x = 17 + 2x

Solving
3 + -5x = 17 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -5x + -2x = 17 + 2x + -2x

Combine like terms: -5x + -2x = -7x
3 + -7x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -7x = 17 + 0
3 + -7x = 17

Add '-3' to each side of the equation.
3 + -3 + -7x = 17 + -3

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

Combine like terms: 17 + -3 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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