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

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


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

Reorder the terms:
2 + 3(5 + 6x) = -2(9x + -8) + -5
2 + (5 * 3 + 6x * 3) = -2(9x + -8) + -5
2 + (15 + 18x) = -2(9x + -8) + -5

Combine like terms: 2 + 15 = 17
17 + 18x = -2(9x + -8) + -5

Reorder the terms:
17 + 18x = -2(-8 + 9x) + -5
17 + 18x = (-8 * -2 + 9x * -2) + -5
17 + 18x = (16 + -18x) + -5

Reorder the terms:
17 + 18x = 16 + -5 + -18x

Combine like terms: 16 + -5 = 11
17 + 18x = 11 + -18x

Solving
17 + 18x = 11 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
17 + 18x + 18x = 11 + -18x + 18x

Combine like terms: 18x + 18x = 36x
17 + 36x = 11 + -18x + 18x

Combine like terms: -18x + 18x = 0
17 + 36x = 11 + 0
17 + 36x = 11

Add '-17' to each side of the equation.
17 + -17 + 36x = 11 + -17

Combine like terms: 17 + -17 = 0
0 + 36x = 11 + -17
36x = 11 + -17

Combine like terms: 11 + -17 = -6
36x = -6

Divide each side by '36'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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