17-45=5(x-1)-3

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Solution for 17-45=5(x-1)-3 equation:


Simplifying
17 + -45 = 5(x + -1) + -3

Combine like terms: 17 + -45 = -28
-28 = 5(x + -1) + -3

Reorder the terms:
-28 = 5(-1 + x) + -3
-28 = (-1 * 5 + x * 5) + -3
-28 = (-5 + 5x) + -3

Reorder the terms:
-28 = -5 + -3 + 5x

Combine like terms: -5 + -3 = -8
-28 = -8 + 5x

Solving
-28 = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-28 + -5x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-28 + -5x = -8 + 0
-28 + -5x = -8

Add '28' to each side of the equation.
-28 + 28 + -5x = -8 + 28

Combine like terms: -28 + 28 = 0
0 + -5x = -8 + 28
-5x = -8 + 28

Combine like terms: -8 + 28 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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