2(4x+6)+3(2x-8)=30

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Solution for 2(4x+6)+3(2x-8)=30 equation:


Simplifying
2(4x + 6) + 3(2x + -8) = 30

Reorder the terms:
2(6 + 4x) + 3(2x + -8) = 30
(6 * 2 + 4x * 2) + 3(2x + -8) = 30
(12 + 8x) + 3(2x + -8) = 30

Reorder the terms:
12 + 8x + 3(-8 + 2x) = 30
12 + 8x + (-8 * 3 + 2x * 3) = 30
12 + 8x + (-24 + 6x) = 30

Reorder the terms:
12 + -24 + 8x + 6x = 30

Combine like terms: 12 + -24 = -12
-12 + 8x + 6x = 30

Combine like terms: 8x + 6x = 14x
-12 + 14x = 30

Solving
-12 + 14x = 30

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 14x = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 14x = 30 + 12
14x = 30 + 12

Combine like terms: 30 + 12 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3

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