6-(8x+9)=9(-3x+1)+2

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Solution for 6-(8x+9)=9(-3x+1)+2 equation:


Simplifying
6 + -1(8x + 9) = 9(-3x + 1) + 2

Reorder the terms:
6 + -1(9 + 8x) = 9(-3x + 1) + 2
6 + (9 * -1 + 8x * -1) = 9(-3x + 1) + 2
6 + (-9 + -8x) = 9(-3x + 1) + 2

Combine like terms: 6 + -9 = -3
-3 + -8x = 9(-3x + 1) + 2

Reorder the terms:
-3 + -8x = 9(1 + -3x) + 2
-3 + -8x = (1 * 9 + -3x * 9) + 2
-3 + -8x = (9 + -27x) + 2

Reorder the terms:
-3 + -8x = 9 + 2 + -27x

Combine like terms: 9 + 2 = 11
-3 + -8x = 11 + -27x

Solving
-3 + -8x = 11 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
-3 + -8x + 27x = 11 + -27x + 27x

Combine like terms: -8x + 27x = 19x
-3 + 19x = 11 + -27x + 27x

Combine like terms: -27x + 27x = 0
-3 + 19x = 11 + 0
-3 + 19x = 11

Add '3' to each side of the equation.
-3 + 3 + 19x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 19x = 11 + 3
19x = 11 + 3

Combine like terms: 11 + 3 = 14
19x = 14

Divide each side by '19'.
x = 0.7368421053

Simplifying
x = 0.7368421053

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