-6(7x-1)=8x+9(3x-4)

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Solution for -6(7x-1)=8x+9(3x-4) equation:


Simplifying
-6(7x + -1) = 8x + 9(3x + -4)

Reorder the terms:
-6(-1 + 7x) = 8x + 9(3x + -4)
(-1 * -6 + 7x * -6) = 8x + 9(3x + -4)
(6 + -42x) = 8x + 9(3x + -4)

Reorder the terms:
6 + -42x = 8x + 9(-4 + 3x)
6 + -42x = 8x + (-4 * 9 + 3x * 9)
6 + -42x = 8x + (-36 + 27x)

Reorder the terms:
6 + -42x = -36 + 8x + 27x

Combine like terms: 8x + 27x = 35x
6 + -42x = -36 + 35x

Solving
6 + -42x = -36 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
6 + -42x + -35x = -36 + 35x + -35x

Combine like terms: -42x + -35x = -77x
6 + -77x = -36 + 35x + -35x

Combine like terms: 35x + -35x = 0
6 + -77x = -36 + 0
6 + -77x = -36

Add '-6' to each side of the equation.
6 + -6 + -77x = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -77x = -36 + -6
-77x = -36 + -6

Combine like terms: -36 + -6 = -42
-77x = -42

Divide each side by '-77'.
x = 0.5454545455

Simplifying
x = 0.5454545455

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