6+3.3(x-9)=0.5(2-x)

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Solution for 6+3.3(x-9)=0.5(2-x) equation: 


Simplifying
6 + 3.3(x + -9) = 0.5(2 + -1x)

Reorder the terms:
6 + 3.3(-9 + x) = 0.5(2 + -1x)
6 + (-9 * 3.3 + x * 3.3) = 0.5(2 + -1x)
6 + (-29.7 + 3.3x) = 0.5(2 + -1x)

Combine like terms: 6 + -29.7 = -23.7
-23.7 + 3.3x = 0.5(2 + -1x)
-23.7 + 3.3x = (2 * 0.5 + -1x * 0.5)
-23.7 + 3.3x = (1 + -0.5x)

Solving
-23.7 + 3.3x = 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.
-23.7 + 3.3x + 0.5x = 1 + -0.5x + 0.5x

Combine like terms: 3.3x + 0.5x = 3.8x
-23.7 + 3.8x = 1 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-23.7 + 3.8x = 1 + 0.0
-23.7 + 3.8x = 1

Add '23.7' to each side of the equation.
-23.7 + 23.7 + 3.8x = 1 + 23.7

Combine like terms: -23.7 + 23.7 = 0.0
0.0 + 3.8x = 1 + 23.7
3.8x = 1 + 23.7

Combine like terms: 1 + 23.7 = 24.7
3.8x = 24.7

Divide each side by '3.8'.
x = 6.5

Simplifying
x = 6.5

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