6+.66(x-9)=0.5(2-x)

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Solution for 6+.66(x-9)=0.5(2-x) equation: 


Simplifying
6 + 0.66(x + -9) = 0.5(2 + -1x)

Reorder the terms:
6 + 0.66(-9 + x) = 0.5(2 + -1x)
6 + (-9 * 0.66 + x * 0.66) = 0.5(2 + -1x)
6 + (-5.94 + 0.66x) = 0.5(2 + -1x)

Combine like terms: 6 + -5.94 = 0.06
0.06 + 0.66x = 0.5(2 + -1x)
0.06 + 0.66x = (2 * 0.5 + -1x * 0.5)
0.06 + 0.66x = (1 + -0.5x)

Solving
0.06 + 0.66x = 1 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
0.06 + 0.66x + 0.5x = 1 + -0.5x + 0.5x

Combine like terms: 0.66x + 0.5x = 1.16x
0.06 + 1.16x = 1 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
0.06 + 1.16x = 1 + 0.0
0.06 + 1.16x = 1

Add '-0.06' to each side of the equation.
0.06 + -0.06 + 1.16x = 1 + -0.06

Combine like terms: 0.06 + -0.06 = 0.00
0.00 + 1.16x = 1 + -0.06
1.16x = 1 + -0.06

Combine like terms: 1 + -0.06 = 0.94
1.16x = 0.94

Divide each side by '1.16'.
x = 0.8103448276

Simplifying
x = 0.8103448276

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