(8x-4).5-18=14(2x+2)

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Solution for (8x-4).5-18=14(2x+2) equation:


Simplifying
(8x + -4) * 0.5 + -18 = 14(2x + 2)

Reorder the terms:
(-4 + 8x) * 0.5 + -18 = 14(2x + 2)

Reorder the terms for easier multiplication:
0.5(-4 + 8x) + -18 = 14(2x + 2)
(-4 * 0.5 + 8x * 0.5) + -18 = 14(2x + 2)
(-2 + 4x) + -18 = 14(2x + 2)

Reorder the terms:
-2 + -18 + 4x = 14(2x + 2)

Combine like terms: -2 + -18 = -20
-20 + 4x = 14(2x + 2)

Reorder the terms:
-20 + 4x = 14(2 + 2x)
-20 + 4x = (2 * 14 + 2x * 14)
-20 + 4x = (28 + 28x)

Solving
-20 + 4x = 28 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-20 + 4x + -28x = 28 + 28x + -28x

Combine like terms: 4x + -28x = -24x
-20 + -24x = 28 + 28x + -28x

Combine like terms: 28x + -28x = 0
-20 + -24x = 28 + 0
-20 + -24x = 28

Add '20' to each side of the equation.
-20 + 20 + -24x = 28 + 20

Combine like terms: -20 + 20 = 0
0 + -24x = 28 + 20
-24x = 28 + 20

Combine like terms: 28 + 20 = 48
-24x = 48

Divide each side by '-24'.
x = -2

Simplifying
x = -2

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