6(x+3)-2(x-5)=20

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Solution for 6(x+3)-2(x-5)=20 equation: 


Simplifying
6(x + 3) + -2(x + -5) = 20

Reorder the terms:
6(3 + x) + -2(x + -5) = 20
(3 * 6 + x * 6) + -2(x + -5) = 20
(18 + 6x) + -2(x + -5) = 20

Reorder the terms:
18 + 6x + -2(-5 + x) = 20
18 + 6x + (-5 * -2 + x * -2) = 20
18 + 6x + (10 + -2x) = 20

Reorder the terms:
18 + 10 + 6x + -2x = 20

Combine like terms: 18 + 10 = 28
28 + 6x + -2x = 20

Combine like terms: 6x + -2x = 4x
28 + 4x = 20

Solving
28 + 4x = 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 + 4x = 20 + -28

Combine like terms: 28 + -28 = 0
0 + 4x = 20 + -28
4x = 20 + -28

Combine like terms: 20 + -28 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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