6(.5)+x=(6+x)(.8)

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Solution for 6(.5)+x=(6+x)(.8) equation: 


Simplifying
6(0.5) + x = (6 + x)(0.8)

Multiply 6 * 0.5
3 + x = (6 + x)(0.8)

Reorder the terms for easier multiplication:
3 + x = 0.8(6 + x)
3 + x = (6 * 0.8 + x * 0.8)
3 + x = (4.8 + 0.8x)

Solving
3 + x = 4.8 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
3 + x + -0.8x = 4.8 + 0.8x + -0.8x

Combine like terms: x + -0.8x = 0.2x
3 + 0.2x = 4.8 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
3 + 0.2x = 4.8 + 0.0
3 + 0.2x = 4.8

Add '-3' to each side of the equation.
3 + -3 + 0.2x = 4.8 + -3

Combine like terms: 3 + -3 = 0
0 + 0.2x = 4.8 + -3
0.2x = 4.8 + -3

Combine like terms: 4.8 + -3 = 1.8
0.2x = 1.8

Divide each side by '0.2'.
x = 9

Simplifying
x = 9

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