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

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Solution for 6(x+2)+4(3x-1)=30 equation:


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

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

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

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

Combine like terms: 12 + -4 = 8
8 + 6x + 12x = 30

Combine like terms: 6x + 12x = 18x
8 + 18x = 30

Solving
8 + 18x = 30

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 18x = 30 + -8

Combine like terms: 8 + -8 = 0
0 + 18x = 30 + -8
18x = 30 + -8

Combine like terms: 30 + -8 = 22
18x = 22

Divide each side by '18'.
x = 1.222222222

Simplifying
x = 1.222222222

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