-3(2x+6)+6(6x+5)=42

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Solution for -3(2x+6)+6(6x+5)=42 equation: 


Simplifying
-3(2x + 6) + 6(6x + 5) = 42

Reorder the terms:
-3(6 + 2x) + 6(6x + 5) = 42
(6 * -3 + 2x * -3) + 6(6x + 5) = 42
(-18 + -6x) + 6(6x + 5) = 42

Reorder the terms:
-18 + -6x + 6(5 + 6x) = 42
-18 + -6x + (5 * 6 + 6x * 6) = 42
-18 + -6x + (30 + 36x) = 42

Reorder the terms:
-18 + 30 + -6x + 36x = 42

Combine like terms: -18 + 30 = 12
12 + -6x + 36x = 42

Combine like terms: -6x + 36x = 30x
12 + 30x = 42

Solving
12 + 30x = 42

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 + 30x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 30x = 42 + -12
30x = 42 + -12

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

Divide each side by '30'.
x = 1

Simplifying
x = 1

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