8[4-(-5x-8)]=240x+416

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Solution for 8[4-(-5x-8)]=240x+416 equation:


Simplifying
8[4 + -1(-5x + -8)] = 240x + 416

Reorder the terms:
8[4 + -1(-8 + -5x)] = 240x + 416
8[4 + (-8 * -1 + -5x * -1)] = 240x + 416
8[4 + (8 + 5x)] = 240x + 416

Combine like terms: 4 + 8 = 12
8[12 + 5x] = 240x + 416
[12 * 8 + 5x * 8] = 240x + 416
[96 + 40x] = 240x + 416

Reorder the terms:
96 + 40x = 416 + 240x

Solving
96 + 40x = 416 + 240x

Solving for variable 'x'.

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

Add '-240x' to each side of the equation.
96 + 40x + -240x = 416 + 240x + -240x

Combine like terms: 40x + -240x = -200x
96 + -200x = 416 + 240x + -240x

Combine like terms: 240x + -240x = 0
96 + -200x = 416 + 0
96 + -200x = 416

Add '-96' to each side of the equation.
96 + -96 + -200x = 416 + -96

Combine like terms: 96 + -96 = 0
0 + -200x = 416 + -96
-200x = 416 + -96

Combine like terms: 416 + -96 = 320
-200x = 320

Divide each side by '-200'.
x = -1.6

Simplifying
x = -1.6

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