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

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


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

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

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

Solving
6 + 2x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 2x + -4x = -20 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
6 + -2x = -20 + 0
6 + -2x = -20

Add '-6' to each side of the equation.
6 + -6 + -2x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -20 + -6
-2x = -20 + -6

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

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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