2(x+3)-4(x-5)=20

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Solution for 2(x+3)-4(x-5)=20 equation: 


Simplifying
2(x + 3) + -4(x + -5) = 20

Reorder the terms:
2(3 + x) + -4(x + -5) = 20
(3 * 2 + x * 2) + -4(x + -5) = 20
(6 + 2x) + -4(x + -5) = 20

Reorder the terms:
6 + 2x + -4(-5 + x) = 20
6 + 2x + (-5 * -4 + x * -4) = 20
6 + 2x + (20 + -4x) = 20

Reorder the terms:
6 + 20 + 2x + -4x = 20

Combine like terms: 6 + 20 = 26
26 + 2x + -4x = 20

Combine like terms: 2x + -4x = -2x
26 + -2x = 20

Solving
26 + -2x = 20

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -2x = 20 + -26

Combine like terms: 26 + -26 = 0
0 + -2x = 20 + -26
-2x = 20 + -26

Combine like terms: 20 + -26 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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