3(1+6x)+2(10x+12)=10x+x

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Solution for 3(1+6x)+2(10x+12)=10x+x equation:


Simplifying
3(1 + 6x) + 2(10x + 12) = 10x + x
(1 * 3 + 6x * 3) + 2(10x + 12) = 10x + x
(3 + 18x) + 2(10x + 12) = 10x + x

Reorder the terms:
3 + 18x + 2(12 + 10x) = 10x + x
3 + 18x + (12 * 2 + 10x * 2) = 10x + x
3 + 18x + (24 + 20x) = 10x + x

Reorder the terms:
3 + 24 + 18x + 20x = 10x + x

Combine like terms: 3 + 24 = 27
27 + 18x + 20x = 10x + x

Combine like terms: 18x + 20x = 38x
27 + 38x = 10x + x

Combine like terms: 10x + x = 11x
27 + 38x = 11x

Solving
27 + 38x = 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
27 + 38x + -11x = 11x + -11x

Combine like terms: 38x + -11x = 27x
27 + 27x = 11x + -11x

Combine like terms: 11x + -11x = 0
27 + 27x = 0

Add '-27' to each side of the equation.
27 + -27 + 27x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 27x = 0 + -27
27x = 0 + -27

Combine like terms: 0 + -27 = -27
27x = -27

Divide each side by '27'.
x = -1

Simplifying
x = -1

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