0.5(2x+3)=0.25(8x-6)

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Solution for 0.5(2x+3)=0.25(8x-6) equation:


Simplifying
0.5(2x + 3) = 0.25(8x + -6)

Reorder the terms:
0.5(3 + 2x) = 0.25(8x + -6)
(3 * 0.5 + 2x * 0.5) = 0.25(8x + -6)
(1.5 + 1x) = 0.25(8x + -6)

Reorder the terms:
1.5 + 1x = 0.25(-6 + 8x)
1.5 + 1x = (-6 * 0.25 + 8x * 0.25)
1.5 + 1x = (-1.5 + 2x)

Solving
1.5 + 1x = -1.5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1.5 + 1x + -2x = -1.5 + 2x + -2x

Combine like terms: 1x + -2x = -1x
1.5 + -1x = -1.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
1.5 + -1x = -1.5 + 0
1.5 + -1x = -1.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -1x = -1.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1x = -1.5 + -1.5
-1x = -1.5 + -1.5

Combine like terms: -1.5 + -1.5 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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