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

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


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

Reorder the terms:
3(-2 + x) + -8(x + 3) = 20
(-2 * 3 + x * 3) + -8(x + 3) = 20
(-6 + 3x) + -8(x + 3) = 20

Reorder the terms:
-6 + 3x + -8(3 + x) = 20
-6 + 3x + (3 * -8 + x * -8) = 20
-6 + 3x + (-24 + -8x) = 20

Reorder the terms:
-6 + -24 + 3x + -8x = 20

Combine like terms: -6 + -24 = -30
-30 + 3x + -8x = 20

Combine like terms: 3x + -8x = -5x
-30 + -5x = 20

Solving
-30 + -5x = 20

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + -5x = 20 + 30

Combine like terms: -30 + 30 = 0
0 + -5x = 20 + 30
-5x = 20 + 30

Combine like terms: 20 + 30 = 50
-5x = 50

Divide each side by '-5'.
x = -10

Simplifying
x = -10

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