x+3(2+4x)=6(x+1)+5x

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Solution for x+3(2+4x)=6(x+1)+5x equation:


Simplifying
x + 3(2 + 4x) = 6(x + 1) + 5x
x + (2 * 3 + 4x * 3) = 6(x + 1) + 5x
x + (6 + 12x) = 6(x + 1) + 5x

Reorder the terms:
6 + x + 12x = 6(x + 1) + 5x

Combine like terms: x + 12x = 13x
6 + 13x = 6(x + 1) + 5x

Reorder the terms:
6 + 13x = 6(1 + x) + 5x
6 + 13x = (1 * 6 + x * 6) + 5x
6 + 13x = (6 + 6x) + 5x

Combine like terms: 6x + 5x = 11x
6 + 13x = 6 + 11x

Add '-6' to each side of the equation.
6 + -6 + 13x = 6 + -6 + 11x

Combine like terms: 6 + -6 = 0
0 + 13x = 6 + -6 + 11x
13x = 6 + -6 + 11x

Combine like terms: 6 + -6 = 0
13x = 0 + 11x
13x = 11x

Solving
13x = 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.
13x + -11x = 11x + -11x

Combine like terms: 13x + -11x = 2x
2x = 11x + -11x

Combine like terms: 11x + -11x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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