4(3x+2)+2(3x-2)+6=46

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Solution for 4(3x+2)+2(3x-2)+6=46 equation: 


Simplifying
4(3x + 2) + 2(3x + -2) + 6 = 46

Reorder the terms:
4(2 + 3x) + 2(3x + -2) + 6 = 46
(2 * 4 + 3x * 4) + 2(3x + -2) + 6 = 46
(8 + 12x) + 2(3x + -2) + 6 = 46

Reorder the terms:
8 + 12x + 2(-2 + 3x) + 6 = 46
8 + 12x + (-2 * 2 + 3x * 2) + 6 = 46
8 + 12x + (-4 + 6x) + 6 = 46

Reorder the terms:
8 + -4 + 6 + 12x + 6x = 46

Combine like terms: 8 + -4 = 4
4 + 6 + 12x + 6x = 46

Combine like terms: 4 + 6 = 10
10 + 12x + 6x = 46

Combine like terms: 12x + 6x = 18x
10 + 18x = 46

Solving
10 + 18x = 46

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 18x = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 18x = 46 + -10
18x = 46 + -10

Combine like terms: 46 + -10 = 36
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2

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