6+0.75(x-9)=0.5(2-x)

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Solution for 6+0.75(x-9)=0.5(2-x) equation: 


Simplifying
6 + 0.75(x + -9) = 0.5(2 + -1x)

Reorder the terms:
6 + 0.75(-9 + x) = 0.5(2 + -1x)
6 + (-9 * 0.75 + x * 0.75) = 0.5(2 + -1x)
6 + (-6.75 + 0.75x) = 0.5(2 + -1x)

Combine like terms: 6 + -6.75 = -0.75
-0.75 + 0.75x = 0.5(2 + -1x)
-0.75 + 0.75x = (2 * 0.5 + -1x * 0.5)
-0.75 + 0.75x = (1 + -0.5x)

Solving
-0.75 + 0.75x = 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.
-0.75 + 0.75x + 0.5x = 1 + -0.5x + 0.5x

Combine like terms: 0.75x + 0.5x = 1.25x
-0.75 + 1.25x = 1 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-0.75 + 1.25x = 1 + 0.0
-0.75 + 1.25x = 1

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 1.25x = 1 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 1.25x = 1 + 0.75
1.25x = 1 + 0.75

Combine like terms: 1 + 0.75 = 1.75
1.25x = 1.75

Divide each side by '1.25'.
x = 1.4

Simplifying
x = 1.4

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