6(x+2)+4(3-x)=30

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Solution for 6(x+2)+4(3-x)=30 equation: 


Simplifying
6(x + 2) + 4(3 + -1x) = 30

Reorder the terms:
6(2 + x) + 4(3 + -1x) = 30
(2 * 6 + x * 6) + 4(3 + -1x) = 30
(12 + 6x) + 4(3 + -1x) = 30
12 + 6x + (3 * 4 + -1x * 4) = 30
12 + 6x + (12 + -4x) = 30

Reorder the terms:
12 + 12 + 6x + -4x = 30

Combine like terms: 12 + 12 = 24
24 + 6x + -4x = 30

Combine like terms: 6x + -4x = 2x
24 + 2x = 30

Solving
24 + 2x = 30

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 2x = 30 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 30 + -24
2x = 30 + -24

Combine like terms: 30 + -24 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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