.50(30x+10)-6(x-2)=28

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Solution for .50(30x+10)-6(x-2)=28 equation: 


Simplifying
0.50(30x + 10) + -6(x + -2) = 28

Reorder the terms:
0.50(10 + 30x) + -6(x + -2) = 28
(10 * 0.50 + 30x * 0.50) + -6(x + -2) = 28
(5 + 15x) + -6(x + -2) = 28

Reorder the terms:
5 + 15x + -6(-2 + x) = 28
5 + 15x + (-2 * -6 + x * -6) = 28
5 + 15x + (12 + -6x) = 28

Reorder the terms:
5 + 12 + 15x + -6x = 28

Combine like terms: 5 + 12 = 17
17 + 15x + -6x = 28

Combine like terms: 15x + -6x = 9x
17 + 9x = 28

Solving
17 + 9x = 28

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 9x = 28 + -17

Combine like terms: 17 + -17 = 0
0 + 9x = 28 + -17
9x = 28 + -17

Combine like terms: 28 + -17 = 11
9x = 11

Divide each side by '9'.
x = 1.222222222

Simplifying
x = 1.222222222

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