3(2x+3)+4(3x+1)=42

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Solution for 3(2x+3)+4(3x+1)=42 equation:


Simplifying
3(2x + 3) + 4(3x + 1) = 42

Reorder the terms:
3(3 + 2x) + 4(3x + 1) = 42
(3 * 3 + 2x * 3) + 4(3x + 1) = 42
(9 + 6x) + 4(3x + 1) = 42

Reorder the terms:
9 + 6x + 4(1 + 3x) = 42
9 + 6x + (1 * 4 + 3x * 4) = 42
9 + 6x + (4 + 12x) = 42

Reorder the terms:
9 + 4 + 6x + 12x = 42

Combine like terms: 9 + 4 = 13
13 + 6x + 12x = 42

Combine like terms: 6x + 12x = 18x
13 + 18x = 42

Solving
13 + 18x = 42

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 18x = 42 + -13

Combine like terms: 13 + -13 = 0
0 + 18x = 42 + -13
18x = 42 + -13

Combine like terms: 42 + -13 = 29
18x = 29

Divide each side by '18'.
x = 1.611111111

Simplifying
x = 1.611111111

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