2(x-8)+3(x-4)=-20

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Solution for 2(x-8)+3(x-4)=-20 equation: 


Simplifying
2(x + -8) + 3(x + -4) = -20

Reorder the terms:
2(-8 + x) + 3(x + -4) = -20
(-8 * 2 + x * 2) + 3(x + -4) = -20
(-16 + 2x) + 3(x + -4) = -20

Reorder the terms:
-16 + 2x + 3(-4 + x) = -20
-16 + 2x + (-4 * 3 + x * 3) = -20
-16 + 2x + (-12 + 3x) = -20

Reorder the terms:
-16 + -12 + 2x + 3x = -20

Combine like terms: -16 + -12 = -28
-28 + 2x + 3x = -20

Combine like terms: 2x + 3x = 5x
-28 + 5x = -20

Solving
-28 + 5x = -20

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 5x = -20 + 28

Combine like terms: -28 + 28 = 0
0 + 5x = -20 + 28
5x = -20 + 28

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

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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