4(13-3x)-17=-5x

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Solution for 4(13-3x)-17=-5x equation:


Simplifying
4(13 + -3x) + -17 = -5x
(13 * 4 + -3x * 4) + -17 = -5x
(52 + -12x) + -17 = -5x

Reorder the terms:
52 + -17 + -12x = -5x

Combine like terms: 52 + -17 = 35
35 + -12x = -5x

Solving
35 + -12x = -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.
35 + -12x + 5x = -5x + 5x

Combine like terms: -12x + 5x = -7x
35 + -7x = -5x + 5x

Combine like terms: -5x + 5x = 0
35 + -7x = 0

Add '-35' to each side of the equation.
35 + -35 + -7x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -7x = 0 + -35
-7x = 0 + -35

Combine like terms: 0 + -35 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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