-8+(8(3x+2))=-40+(8x)

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Solution for -8+(8(3x+2))=-40+(8x) equation:


Simplifying
-8 + (8(3x + 2)) = -40 + (8x)

Reorder the terms:
-8 + (8(2 + 3x)) = -40 + (8x)
-8 + ((2 * 8 + 3x * 8)) = -40 + (8x)
-8 + ((16 + 24x)) = -40 + (8x)
-8 + (16 + 24x) = -40 + (8x)

Remove parenthesis around (16 + 24x)
-8 + 16 + 24x = -40 + (8x)

Combine like terms: -8 + 16 = 8
8 + 24x = -40 + (8x)

Solving
8 + 24x = -40 + (8x)

Solving for variable 'x'.

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

Add '(-8x)' to each side of the equation.
8 + 24x + (-8x) = -40 + (8x) + (-8x)

Combine like terms: 24x + (-8x) = 16x
8 + 16x = -40 + (8x) + (-8x)

Combine like terms: (8x) + (-8x) = 0
8 + 16x = -40 + 0
8 + 16x = -40

Add '-8' to each side of the equation.
8 + -8 + 16x = -40 + -8

Combine like terms: 8 + -8 = 0
0 + 16x = -40 + -8
16x = -40 + -8

Combine like terms: -40 + -8 = -48
16x = -48

Divide each side by '16'.
x = -3

Simplifying
x = -3

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