19-[5(x+44)-6(x+20)-2x]=0

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Solution for 19-[5(x+44)-6(x+20)-2x]=0 equation:


Simplifying
19 + -1[5(x + 44) + -6(x + 20) + -2x] = 0

Reorder the terms:
19 + -1[5(44 + x) + -6(x + 20) + -2x] = 0
19 + -1[(44 * 5 + x * 5) + -6(x + 20) + -2x] = 0
19 + -1[(220 + 5x) + -6(x + 20) + -2x] = 0

Reorder the terms:
19 + -1[220 + 5x + -6(20 + x) + -2x] = 0
19 + -1[220 + 5x + (20 * -6 + x * -6) + -2x] = 0
19 + -1[220 + 5x + (-120 + -6x) + -2x] = 0

Reorder the terms:
19 + -1[220 + -120 + 5x + -6x + -2x] = 0

Combine like terms: 220 + -120 = 100
19 + -1[100 + 5x + -6x + -2x] = 0

Combine like terms: 5x + -6x = -1x
19 + -1[100 + -1x + -2x] = 0

Combine like terms: -1x + -2x = -3x
19 + -1[100 + -3x] = 0
19 + [100 * -1 + -3x * -1] = 0
19 + [-100 + 3x] = 0

Combine like terms: 19 + -100 = -81
-81 + 3x = 0

Solving
-81 + 3x = 0

Solving for variable 'x'.

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

Add '81' to each side of the equation.
-81 + 81 + 3x = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 3x = 0 + 81
3x = 0 + 81

Combine like terms: 0 + 81 = 81
3x = 81

Divide each side by '3'.
x = 27

Simplifying
x = 27

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