(x+8)=2(4x+5)

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Solution for (x+8)=2(4x+5) equation:


Simplifying
(x + 8) = 2(4x + 5)

Reorder the terms:
(8 + x) = 2(4x + 5)

Remove parenthesis around (8 + x)
8 + x = 2(4x + 5)

Reorder the terms:
8 + x = 2(5 + 4x)
8 + x = (5 * 2 + 4x * 2)
8 + x = (10 + 8x)

Solving
8 + x = 10 + 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 + x + -8x = 10 + 8x + -8x

Combine like terms: x + -8x = -7x
8 + -7x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -7x = 10 + 0
8 + -7x = 10

Add '-8' to each side of the equation.
8 + -8 + -7x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 10 + -8
-7x = 10 + -8

Combine like terms: 10 + -8 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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