3(6+4x)-2(6-7x)=9(2x+6)

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Solution for 3(6+4x)-2(6-7x)=9(2x+6) equation:


Simplifying
3(6 + 4x) + -2(6 + -7x) = 9(2x + 6)
(6 * 3 + 4x * 3) + -2(6 + -7x) = 9(2x + 6)
(18 + 12x) + -2(6 + -7x) = 9(2x + 6)
18 + 12x + (6 * -2 + -7x * -2) = 9(2x + 6)
18 + 12x + (-12 + 14x) = 9(2x + 6)

Reorder the terms:
18 + -12 + 12x + 14x = 9(2x + 6)

Combine like terms: 18 + -12 = 6
6 + 12x + 14x = 9(2x + 6)

Combine like terms: 12x + 14x = 26x
6 + 26x = 9(2x + 6)

Reorder the terms:
6 + 26x = 9(6 + 2x)
6 + 26x = (6 * 9 + 2x * 9)
6 + 26x = (54 + 18x)

Solving
6 + 26x = 54 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
6 + 26x + -18x = 54 + 18x + -18x

Combine like terms: 26x + -18x = 8x
6 + 8x = 54 + 18x + -18x

Combine like terms: 18x + -18x = 0
6 + 8x = 54 + 0
6 + 8x = 54

Add '-6' to each side of the equation.
6 + -6 + 8x = 54 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 54 + -6
8x = 54 + -6

Combine like terms: 54 + -6 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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