6[3-(-8x-4)]=240x+128

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Solution for 6[3-(-8x-4)]=240x+128 equation:


Simplifying
6[3 + -1(-8x + -4)] = 240x + 128

Reorder the terms:
6[3 + -1(-4 + -8x)] = 240x + 128
6[3 + (-4 * -1 + -8x * -1)] = 240x + 128
6[3 + (4 + 8x)] = 240x + 128

Combine like terms: 3 + 4 = 7
6[7 + 8x] = 240x + 128
[7 * 6 + 8x * 6] = 240x + 128
[42 + 48x] = 240x + 128

Reorder the terms:
42 + 48x = 128 + 240x

Solving
42 + 48x = 128 + 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.
42 + 48x + -240x = 128 + 240x + -240x

Combine like terms: 48x + -240x = -192x
42 + -192x = 128 + 240x + -240x

Combine like terms: 240x + -240x = 0
42 + -192x = 128 + 0
42 + -192x = 128

Add '-42' to each side of the equation.
42 + -42 + -192x = 128 + -42

Combine like terms: 42 + -42 = 0
0 + -192x = 128 + -42
-192x = 128 + -42

Combine like terms: 128 + -42 = 86
-192x = 86

Divide each side by '-192'.
x = -0.4479166667

Simplifying
x = -0.4479166667

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