2(x+3)+4(x-6)=6

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Solution for 2(x+3)+4(x-6)=6 equation:


Simplifying
2(x + 3) + 4(x + -6) = 6

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

Reorder the terms:
6 + 2x + 4(-6 + x) = 6
6 + 2x + (-6 * 4 + x * 4) = 6
6 + 2x + (-24 + 4x) = 6

Reorder the terms:
6 + -24 + 2x + 4x = 6

Combine like terms: 6 + -24 = -18
-18 + 2x + 4x = 6

Combine like terms: 2x + 4x = 6x
-18 + 6x = 6

Solving
-18 + 6x = 6

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 6x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = 6 + 18
6x = 6 + 18

Combine like terms: 6 + 18 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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