0.5(5x+3)=0.25(8x-6)

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Solution for 0.5(5x+3)=0.25(8x-6) equation: 


Simplifying
0.5(5x + 3) = 0.25(8x + -6)

Reorder the terms:
0.5(3 + 5x) = 0.25(8x + -6)
(3 * 0.5 + 5x * 0.5) = 0.25(8x + -6)
(1.5 + 2.5x) = 0.25(8x + -6)

Reorder the terms:
1.5 + 2.5x = 0.25(-6 + 8x)
1.5 + 2.5x = (-6 * 0.25 + 8x * 0.25)
1.5 + 2.5x = (-1.5 + 2x)

Solving
1.5 + 2.5x = -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 + 2.5x + -2x = -1.5 + 2x + -2x

Combine like terms: 2.5x + -2x = 0.5x
1.5 + 0.5x = -1.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
1.5 + 0.5x = -1.5 + 0
1.5 + 0.5x = -1.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.5x = -1.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5x = -1.5 + -1.5
0.5x = -1.5 + -1.5

Combine like terms: -1.5 + -1.5 = -3
0.5x = -3

Divide each side by '0.5'.
x = -6

Simplifying
x = -6

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