3(x-8)-5(x-5)=20

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Solution for 3(x-8)-5(x-5)=20 equation: 


Simplifying
3(x + -8) + -5(x + -5) = 20

Reorder the terms:
3(-8 + x) + -5(x + -5) = 20
(-8 * 3 + x * 3) + -5(x + -5) = 20
(-24 + 3x) + -5(x + -5) = 20

Reorder the terms:
-24 + 3x + -5(-5 + x) = 20
-24 + 3x + (-5 * -5 + x * -5) = 20
-24 + 3x + (25 + -5x) = 20

Reorder the terms:
-24 + 25 + 3x + -5x = 20

Combine like terms: -24 + 25 = 1
1 + 3x + -5x = 20

Combine like terms: 3x + -5x = -2x
1 + -2x = 20

Solving
1 + -2x = 20

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 20 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 20 + -1
-2x = 20 + -1

Combine like terms: 20 + -1 = 19
-2x = 19

Divide each side by '-2'.
x = -9.5

Simplifying
x = -9.5

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