5x+8=.5(4x+1+x)

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Solution for 5x+8=.5(4x+1+x) equation:


Simplifying
5x + 8 = 0.5(4x + 1 + x)

Reorder the terms:
8 + 5x = 0.5(4x + 1 + x)

Reorder the terms:
8 + 5x = 0.5(1 + 4x + x)

Combine like terms: 4x + x = 5x
8 + 5x = 0.5(1 + 5x)
8 + 5x = (1 * 0.5 + 5x * 0.5)
8 + 5x = (0.5 + 2.5x)

Solving
8 + 5x = 0.5 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
8 + 5x + -2.5x = 0.5 + 2.5x + -2.5x

Combine like terms: 5x + -2.5x = 2.5x
8 + 2.5x = 0.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
8 + 2.5x = 0.5 + 0.0
8 + 2.5x = 0.5

Add '-8' to each side of the equation.
8 + -8 + 2.5x = 0.5 + -8

Combine like terms: 8 + -8 = 0
0 + 2.5x = 0.5 + -8
2.5x = 0.5 + -8

Combine like terms: 0.5 + -8 = -7.5
2.5x = -7.5

Divide each side by '2.5'.
x = -3

Simplifying
x = -3

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