11x-3x+12x=6(x+4)+7x

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Solution for 11x-3x+12x=6(x+4)+7x equation:


Simplifying
11x + -3x + 12x = 6(x + 4) + 7x

Combine like terms: 11x + -3x = 8x
8x + 12x = 6(x + 4) + 7x

Combine like terms: 8x + 12x = 20x
20x = 6(x + 4) + 7x

Reorder the terms:
20x = 6(4 + x) + 7x
20x = (4 * 6 + x * 6) + 7x
20x = (24 + 6x) + 7x

Combine like terms: 6x + 7x = 13x
20x = 24 + 13x

Solving
20x = 24 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
20x + -13x = 24 + 13x + -13x

Combine like terms: 20x + -13x = 7x
7x = 24 + 13x + -13x

Combine like terms: 13x + -13x = 0
7x = 24 + 0
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429

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