4*[9-5(-2)]+3(3x-5)=2*[3(x-5)+17]-4

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Solution for 4*[9-5(-2)]+3(3x-5)=2*[3(x-5)+17]-4 equation: 


Simplifying
4[9 + -5(-2)] + 3(3x + -5) = 2[3(x + -5) + 17] + -4

Multiply -5 * -2
4[9 + 10] + 3(3x + -5) = 2[3(x + -5) + 17] + -4

Combine like terms: 9 + 10 = 19
4[19] + 3(3x + -5) = 2[3(x + -5) + 17] + -4

Multiply 4 * 19
76 + 3(3x + -5) = 2[3(x + -5) + 17] + -4

Reorder the terms:
76 + 3(-5 + 3x) = 2[3(x + -5) + 17] + -4
76 + (-5 * 3 + 3x * 3) = 2[3(x + -5) + 17] + -4
76 + (-15 + 9x) = 2[3(x + -5) + 17] + -4

Combine like terms: 76 + -15 = 61
61 + 9x = 2[3(x + -5) + 17] + -4

Reorder the terms:
61 + 9x = 2[3(-5 + x) + 17] + -4
61 + 9x = 2[(-5 * 3 + x * 3) + 17] + -4
61 + 9x = 2[(-15 + 3x) + 17] + -4

Reorder the terms:
61 + 9x = 2[-15 + 17 + 3x] + -4

Combine like terms: -15 + 17 = 2
61 + 9x = 2[2 + 3x] + -4
61 + 9x = [2 * 2 + 3x * 2] + -4
61 + 9x = [4 + 6x] + -4

Reorder the terms:
61 + 9x = 4 + -4 + 6x

Combine like terms: 4 + -4 = 0
61 + 9x = 0 + 6x
61 + 9x = 6x

Solving
61 + 9x = 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.
61 + 9x + -6x = 6x + -6x

Combine like terms: 9x + -6x = 3x
61 + 3x = 6x + -6x

Combine like terms: 6x + -6x = 0
61 + 3x = 0

Add '-61' to each side of the equation.
61 + -61 + 3x = 0 + -61

Combine like terms: 61 + -61 = 0
0 + 3x = 0 + -61
3x = 0 + -61

Combine like terms: 0 + -61 = -61
3x = -61

Divide each side by '3'.
x = -20.33333333

Simplifying
x = -20.33333333

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