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 = -4
-4 + 2x + 3x = -20

Combine like terms: 2x + 3x = 5x
-4 + 5x = -20

Solving
-4 + 5x = -20

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = -20 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -20 + 4
5x = -20 + 4

Combine like terms: -20 + 4 = -16
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2

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