-4(x+3)-5=-5(x-8)-3

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Solution for -4(x+3)-5=-5(x-8)-3 equation:


Simplifying
-4(x + 3) + -5 = -5(x + -8) + -3

Reorder the terms:
-4(3 + x) + -5 = -5(x + -8) + -3
(3 * -4 + x * -4) + -5 = -5(x + -8) + -3
(-12 + -4x) + -5 = -5(x + -8) + -3

Reorder the terms:
-12 + -5 + -4x = -5(x + -8) + -3

Combine like terms: -12 + -5 = -17
-17 + -4x = -5(x + -8) + -3

Reorder the terms:
-17 + -4x = -5(-8 + x) + -3
-17 + -4x = (-8 * -5 + x * -5) + -3
-17 + -4x = (40 + -5x) + -3

Reorder the terms:
-17 + -4x = 40 + -3 + -5x

Combine like terms: 40 + -3 = 37
-17 + -4x = 37 + -5x

Solving
-17 + -4x = 37 + -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.
-17 + -4x + 5x = 37 + -5x + 5x

Combine like terms: -4x + 5x = 1x
-17 + 1x = 37 + -5x + 5x

Combine like terms: -5x + 5x = 0
-17 + 1x = 37 + 0
-17 + 1x = 37

Add '17' to each side of the equation.
-17 + 17 + 1x = 37 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = 37 + 17
1x = 37 + 17

Combine like terms: 37 + 17 = 54
1x = 54

Divide each side by '1'.
x = 54

Simplifying
x = 54

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