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 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8

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