.16(8x+3)=.5(2x+7)

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Solution for .16(8x+3)=.5(2x+7) equation: 


Simplifying
0.16(8x + 3) = 0.5(2x + 7)

Reorder the terms:
0.16(3 + 8x) = 0.5(2x + 7)
(3 * 0.16 + 8x * 0.16) = 0.5(2x + 7)
(0.48 + 1.28x) = 0.5(2x + 7)

Reorder the terms:
0.48 + 1.28x = 0.5(7 + 2x)
0.48 + 1.28x = (7 * 0.5 + 2x * 0.5)
0.48 + 1.28x = (3.5 + 1x)

Solving
0.48 + 1.28x = 3.5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0.48 + 1.28x + -1x = 3.5 + 1x + -1x

Combine like terms: 1.28x + -1x = 0.28x
0.48 + 0.28x = 3.5 + 1x + -1x

Combine like terms: 1x + -1x = 0
0.48 + 0.28x = 3.5 + 0
0.48 + 0.28x = 3.5

Add '-0.48' to each side of the equation.
0.48 + -0.48 + 0.28x = 3.5 + -0.48

Combine like terms: 0.48 + -0.48 = 0.00
0.00 + 0.28x = 3.5 + -0.48
0.28x = 3.5 + -0.48

Combine like terms: 3.5 + -0.48 = 3.02
0.28x = 3.02

Divide each side by '0.28'.
x = 10.78571429

Simplifying
x = 10.78571429

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