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

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


Simplifying
3[-2(4x + 5) + 4(5x + -5)] = 0

Reorder the terms:
3[-2(5 + 4x) + 4(5x + -5)] = 0
3[(5 * -2 + 4x * -2) + 4(5x + -5)] = 0
3[(-10 + -8x) + 4(5x + -5)] = 0

Reorder the terms:
3[-10 + -8x + 4(-5 + 5x)] = 0
3[-10 + -8x + (-5 * 4 + 5x * 4)] = 0
3[-10 + -8x + (-20 + 20x)] = 0

Reorder the terms:
3[-10 + -20 + -8x + 20x] = 0

Combine like terms: -10 + -20 = -30
3[-30 + -8x + 20x] = 0

Combine like terms: -8x + 20x = 12x
3[-30 + 12x] = 0
[-30 * 3 + 12x * 3] = 0
[-90 + 36x] = 0

Solving
-90 + 36x = 0

Solving for variable 'x'.

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

Add '90' to each side of the equation.
-90 + 90 + 36x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + 36x = 0 + 90
36x = 0 + 90

Combine like terms: 0 + 90 = 90
36x = 90

Divide each side by '36'.
x = 2.5

Simplifying
x = 2.5

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