3(2x+1)+2(x-3)=0.5(x-10)

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Solution for 3(2x+1)+2(x-3)=0.5(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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