(8x*3-6x*2+9x)-(5x*2+6x+3)=

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Solution for (8x*3-6x*2+9x)-(5x*2+6x+3)= equation:


Simplifying
(8x * 3 + -6x * 2 + 9x) + -1(5x * 2 + 6x + 3) = 0

Reorder the terms for easier multiplication:
(8 * 3x + -6x * 2 + 9x) + -1(5x * 2 + 6x + 3) = 0

Multiply 8 * 3
(24x + -6x * 2 + 9x) + -1(5x * 2 + 6x + 3) = 0

Reorder the terms for easier multiplication:
(24x + -6 * 2x + 9x) + -1(5x * 2 + 6x + 3) = 0

Multiply -6 * 2
(24x + -12x + 9x) + -1(5x * 2 + 6x + 3) = 0

Combine like terms: 24x + -12x = 12x
(12x + 9x) + -1(5x * 2 + 6x + 3) = 0

Combine like terms: 12x + 9x = 21x
(21x) + -1(5x * 2 + 6x + 3) = 0
(21x) + -1(5x * 2 + 6x + 3) = 0

Reorder the terms for easier multiplication:
(21x) + -1(5 * 2x + 6x + 3) = 0

Multiply 5 * 2
(21x) + -1(10x + 6x + 3) = 0

Reorder the terms:
(21x) + -1(3 + 10x + 6x) = 0

Combine like terms: 10x + 6x = 16x
(21x) + -1(3 + 16x) = 0
(21x) + (3 * -1 + 16x * -1) = 0
(21x) + (-3 + -16x) = 0

Reorder the terms:
-3 + (21x) + -16x = 0

Combine like terms: (21x) + -16x = 5x
-3 + 5x = 0

Solving
-3 + 5x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 0 + 3
5x = 0 + 3

Combine like terms: 0 + 3 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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