3(x-6)-5(4x-8)=73

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Solution for 3(x-6)-5(4x-8)=73 equation:


Simplifying
3(x + -6) + -5(4x + -8) = 73

Reorder the terms:
3(-6 + x) + -5(4x + -8) = 73
(-6 * 3 + x * 3) + -5(4x + -8) = 73
(-18 + 3x) + -5(4x + -8) = 73

Reorder the terms:
-18 + 3x + -5(-8 + 4x) = 73
-18 + 3x + (-8 * -5 + 4x * -5) = 73
-18 + 3x + (40 + -20x) = 73

Reorder the terms:
-18 + 40 + 3x + -20x = 73

Combine like terms: -18 + 40 = 22
22 + 3x + -20x = 73

Combine like terms: 3x + -20x = -17x
22 + -17x = 73

Solving
22 + -17x = 73

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -17x = 73 + -22

Combine like terms: 22 + -22 = 0
0 + -17x = 73 + -22
-17x = 73 + -22

Combine like terms: 73 + -22 = 51
-17x = 51

Divide each side by '-17'.
x = -3

Simplifying
x = -3

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