2[3(3-2)+5(x-3)]+x=-8

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Solution for 2[3(3-2)+5(x-3)]+x=-8 equation:


Simplifying
2[3(3 + -2) + 5(x + -3)] + x = -8

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

Multiply 3 * 1
2[3 + 5(x + -3)] + x = -8

Reorder the terms:
2[3 + 5(-3 + x)] + x = -8
2[3 + (-3 * 5 + x * 5)] + x = -8
2[3 + (-15 + 5x)] + x = -8

Combine like terms: 3 + -15 = -12
2[-12 + 5x] + x = -8
[-12 * 2 + 5x * 2] + x = -8
[-24 + 10x] + x = -8

Combine like terms: 10x + x = 11x
-24 + 11x = -8

Solving
-24 + 11x = -8

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 11x = -8 + 24

Combine like terms: -24 + 24 = 0
0 + 11x = -8 + 24
11x = -8 + 24

Combine like terms: -8 + 24 = 16
11x = 16

Divide each side by '11'.
x = 1.454545455

Simplifying
x = 1.454545455

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