6x(3x-2x)-5=8

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


Simplifying
6x(3x + -2x) + -5 = 8

Combine like terms: 3x + -2x = 1x
6x(1x) + -5 = 8

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

Reorder the terms for easier multiplication:
6 * 1x * x + -5 = 8

Multiply 6 * 1
6x * x + -5 = 8

Multiply x * x
6x2 + -5 = 8

Reorder the terms:
-5 + 6x2 = 8

Solving
-5 + 6x2 = 8

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 6x2 = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 6x2 = 8 + 5
6x2 = 8 + 5

Combine like terms: 8 + 5 = 13
6x2 = 13

Divide each side by '6'.
x2 = 2.166666667

Simplifying
x2 = 2.166666667

Take the square root of each side:
x = {-1.471960145, 1.471960145}

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