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

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


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

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

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

Reorder the terms:
2 + x = 5(8 + x)
2 + x = (8 * 5 + x * 5)
2 + x = (40 + 5x)

Solving
2 + x = 40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + x + -5x = 40 + 5x + -5x

Combine like terms: x + -5x = -4x
2 + -4x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -4x = 40 + 0
2 + -4x = 40

Add '-2' to each side of the equation.
2 + -2 + -4x = 40 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 40 + -2
-4x = 40 + -2

Combine like terms: 40 + -2 = 38
-4x = 38

Divide each side by '-4'.
x = -9.5

Simplifying
x = -9.5

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