(8x-3)-(5x+6)=6

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Solution for (8x-3)-(5x+6)=6 equation:


Simplifying
(8x + -3) + -1(5x + 6) = 6

Reorder the terms:
(-3 + 8x) + -1(5x + 6) = 6

Remove parenthesis around (-3 + 8x)
-3 + 8x + -1(5x + 6) = 6

Reorder the terms:
-3 + 8x + -1(6 + 5x) = 6
-3 + 8x + (6 * -1 + 5x * -1) = 6
-3 + 8x + (-6 + -5x) = 6

Reorder the terms:
-3 + -6 + 8x + -5x = 6

Combine like terms: -3 + -6 = -9
-9 + 8x + -5x = 6

Combine like terms: 8x + -5x = 3x
-9 + 3x = 6

Solving
-9 + 3x = 6

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 3x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 6 + 9
3x = 6 + 9

Combine like terms: 6 + 9 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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