-0.666+0.5x-7=4x+8(8-5+2x)

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Solution for -0.666+0.5x-7=4x+8(8-5+2x) equation:


Simplifying
-0.666 + 0.5x + -7 = 4x + 8(8 + -5 + 2x)

Reorder the terms:
-0.666 + -7 + 0.5x = 4x + 8(8 + -5 + 2x)

Combine like terms: -0.666 + -7 = -7.666
-7.666 + 0.5x = 4x + 8(8 + -5 + 2x)

Combine like terms: 8 + -5 = 3
-7.666 + 0.5x = 4x + 8(3 + 2x)
-7.666 + 0.5x = 4x + (3 * 8 + 2x * 8)
-7.666 + 0.5x = 4x + (24 + 16x)

Reorder the terms:
-7.666 + 0.5x = 24 + 4x + 16x

Combine like terms: 4x + 16x = 20x
-7.666 + 0.5x = 24 + 20x

Solving
-7.666 + 0.5x = 24 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-7.666 + 0.5x + -20x = 24 + 20x + -20x

Combine like terms: 0.5x + -20x = -19.5x
-7.666 + -19.5x = 24 + 20x + -20x

Combine like terms: 20x + -20x = 0
-7.666 + -19.5x = 24 + 0
-7.666 + -19.5x = 24

Add '7.666' to each side of the equation.
-7.666 + 7.666 + -19.5x = 24 + 7.666

Combine like terms: -7.666 + 7.666 = 0.000
0.000 + -19.5x = 24 + 7.666
-19.5x = 24 + 7.666

Combine like terms: 24 + 7.666 = 31.666
-19.5x = 31.666

Divide each side by '-19.5'.
x = -1.623897436

Simplifying
x = -1.623897436

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