5(x+2)+3=.5x+.5

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Solution for 5(x+2)+3=.5x+.5 equation: 


Simplifying
5(x + 2) + 3 = 0.5x + 0.5

Reorder the terms:
5(2 + x) + 3 = 0.5x + 0.5
(2 * 5 + x * 5) + 3 = 0.5x + 0.5
(10 + 5x) + 3 = 0.5x + 0.5

Reorder the terms:
10 + 3 + 5x = 0.5x + 0.5

Combine like terms: 10 + 3 = 13
13 + 5x = 0.5x + 0.5

Reorder the terms:
13 + 5x = 0.5 + 0.5x

Solving
13 + 5x = 0.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
13 + 5x + -0.5x = 0.5 + 0.5x + -0.5x

Combine like terms: 5x + -0.5x = 4.5x
13 + 4.5x = 0.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
13 + 4.5x = 0.5 + 0.0
13 + 4.5x = 0.5

Add '-13' to each side of the equation.
13 + -13 + 4.5x = 0.5 + -13

Combine like terms: 13 + -13 = 0
0 + 4.5x = 0.5 + -13
4.5x = 0.5 + -13

Combine like terms: 0.5 + -13 = -12.5
4.5x = -12.5

Divide each side by '4.5'.
x = -2.777777778

Simplifying
x = -2.777777778

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