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

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


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

Reorder the terms:
2(5 + x) + -4(x + -3) = 20
(5 * 2 + x * 2) + -4(x + -3) = 20
(10 + 2x) + -4(x + -3) = 20

Reorder the terms:
10 + 2x + -4(-3 + x) = 20
10 + 2x + (-3 * -4 + x * -4) = 20
10 + 2x + (12 + -4x) = 20

Reorder the terms:
10 + 12 + 2x + -4x = 20

Combine like terms: 10 + 12 = 22
22 + 2x + -4x = 20

Combine like terms: 2x + -4x = -2x
22 + -2x = 20

Solving
22 + -2x = 20

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -2x = 20 + -22

Combine like terms: 22 + -22 = 0
0 + -2x = 20 + -22
-2x = 20 + -22

Combine like terms: 20 + -22 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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