.5(x+6)=.3(2x+3)

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Solution for .5(x+6)=.3(2x+3) equation:


Simplifying
0.5(x + 6) = 0.3(2x + 3)

Reorder the terms:
0.5(6 + x) = 0.3(2x + 3)
(6 * 0.5 + x * 0.5) = 0.3(2x + 3)
(3 + 0.5x) = 0.3(2x + 3)

Reorder the terms:
3 + 0.5x = 0.3(3 + 2x)
3 + 0.5x = (3 * 0.3 + 2x * 0.3)
3 + 0.5x = (0.9 + 0.6x)

Solving
3 + 0.5x = 0.9 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
3 + 0.5x + -0.6x = 0.9 + 0.6x + -0.6x

Combine like terms: 0.5x + -0.6x = -0.1x
3 + -0.1x = 0.9 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
3 + -0.1x = 0.9 + 0.0
3 + -0.1x = 0.9

Add '-3' to each side of the equation.
3 + -3 + -0.1x = 0.9 + -3

Combine like terms: 3 + -3 = 0
0 + -0.1x = 0.9 + -3
-0.1x = 0.9 + -3

Combine like terms: 0.9 + -3 = -2.1
-0.1x = -2.1

Divide each side by '-0.1'.
x = 21

Simplifying
x = 21

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