2(3x+1)+4(3x+2)=46

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Solution for 2(3x+1)+4(3x+2)=46 equation: 


Simplifying
2(3x + 1) + 4(3x + 2) = 46

Reorder the terms:
2(1 + 3x) + 4(3x + 2) = 46
(1 * 2 + 3x * 2) + 4(3x + 2) = 46
(2 + 6x) + 4(3x + 2) = 46

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

Reorder the terms:
2 + 8 + 6x + 12x = 46

Combine like terms: 2 + 8 = 10
10 + 6x + 12x = 46

Combine like terms: 6x + 12x = 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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