3(9x+2)=6x(4-5)-5

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Solution for 3(9x+2)=6x(4-5)-5 equation:


Simplifying
3(9x + 2) = 6x(4 + -5) + -5

Reorder the terms:
3(2 + 9x) = 6x(4 + -5) + -5
(2 * 3 + 9x * 3) = 6x(4 + -5) + -5
(6 + 27x) = 6x(4 + -5) + -5

Combine like terms: 4 + -5 = -1
6 + 27x = 6x(-1) + -5

Reorder the terms for easier multiplication:
6 + 27x = 6 * -1x + -5

Multiply 6 * -1
6 + 27x = -6x + -5

Reorder the terms:
6 + 27x = -5 + -6x

Solving
6 + 27x = -5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6 + 27x + 6x = -5 + -6x + 6x

Combine like terms: 27x + 6x = 33x
6 + 33x = -5 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 33x = -5 + 0
6 + 33x = -5

Add '-6' to each side of the equation.
6 + -6 + 33x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 33x = -5 + -6
33x = -5 + -6

Combine like terms: -5 + -6 = -11
33x = -11

Divide each side by '33'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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