2(x+3)+4(x-2)=0

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Solution for 2(x+3)+4(x-2)=0 equation:


Simplifying
2(x + 3) + 4(x + -2) = 0

Reorder the terms:
2(3 + x) + 4(x + -2) = 0
(3 * 2 + x * 2) + 4(x + -2) = 0
(6 + 2x) + 4(x + -2) = 0

Reorder the terms:
6 + 2x + 4(-2 + x) = 0
6 + 2x + (-2 * 4 + x * 4) = 0
6 + 2x + (-8 + 4x) = 0

Reorder the terms:
6 + -8 + 2x + 4x = 0

Combine like terms: 6 + -8 = -2
-2 + 2x + 4x = 0

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

Solving
-2 + 6x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 6x = 0 + 2

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

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

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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