3(2X+1)+2(X-3)=.5(X-10)

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Solution for 3(2X+1)+2(X-3)=.5(X-10) equation:


Simplifying
3(2X + 1) + 2(X + -3) = 0.5(X + -10)

Reorder the terms:
3(1 + 2X) + 2(X + -3) = 0.5(X + -10)
(1 * 3 + 2X * 3) + 2(X + -3) = 0.5(X + -10)
(3 + 6X) + 2(X + -3) = 0.5(X + -10)

Reorder the terms:
3 + 6X + 2(-3 + X) = 0.5(X + -10)
3 + 6X + (-3 * 2 + X * 2) = 0.5(X + -10)
3 + 6X + (-6 + 2X) = 0.5(X + -10)

Reorder the terms:
3 + -6 + 6X + 2X = 0.5(X + -10)

Combine like terms: 3 + -6 = -3
-3 + 6X + 2X = 0.5(X + -10)

Combine like terms: 6X + 2X = 8X
-3 + 8X = 0.5(X + -10)

Reorder the terms:
-3 + 8X = 0.5(-10 + X)
-3 + 8X = (-10 * 0.5 + X * 0.5)
-3 + 8X = (-5 + 0.5X)

Solving
-3 + 8X = -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.
-3 + 8X + -0.5X = -5 + 0.5X + -0.5X

Combine like terms: 8X + -0.5X = 7.5X
-3 + 7.5X = -5 + 0.5X + -0.5X

Combine like terms: 0.5X + -0.5X = 0.0
-3 + 7.5X = -5 + 0.0
-3 + 7.5X = -5

Add '3' to each side of the equation.
-3 + 3 + 7.5X = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 7.5X = -5 + 3
7.5X = -5 + 3

Combine like terms: -5 + 3 = -2
7.5X = -2

Divide each side by '7.5'.
X = -0.2666666667

Simplifying
X = -0.2666666667

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