-5x+17=-3(x-9)

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Solution for -5x+17=-3(x-9) equation:


Simplifying
-5x + 17 = -3(x + -9)

Reorder the terms:
17 + -5x = -3(x + -9)

Reorder the terms:
17 + -5x = -3(-9 + x)
17 + -5x = (-9 * -3 + x * -3)
17 + -5x = (27 + -3x)

Solving
17 + -5x = 27 + -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 = 27 + -3x + 3x

Combine like terms: -5x + 3x = -2x
17 + -2x = 27 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + -2x = 27 + 0
17 + -2x = 27

Add '-17' to each side of the equation.
17 + -17 + -2x = 27 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 27 + -17
-2x = 27 + -17

Combine like terms: 27 + -17 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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