0.66(x-5)=1+0.75(2-3x)

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Solution for 0.66(x-5)=1+0.75(2-3x) equation: 


Simplifying
0.66(x + -5) = 1 + 0.75(2 + -3x)

Reorder the terms:
0.66(-5 + x) = 1 + 0.75(2 + -3x)
(-5 * 0.66 + x * 0.66) = 1 + 0.75(2 + -3x)
(-3.3 + 0.66x) = 1 + 0.75(2 + -3x)
-3.3 + 0.66x = 1 + (2 * 0.75 + -3x * 0.75)
-3.3 + 0.66x = 1 + (1.5 + -2.25x)

Combine like terms: 1 + 1.5 = 2.5
-3.3 + 0.66x = 2.5 + -2.25x

Solving
-3.3 + 0.66x = 2.5 + -2.25x

Solving for variable 'x'.

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

Add '2.25x' to each side of the equation.
-3.3 + 0.66x + 2.25x = 2.5 + -2.25x + 2.25x

Combine like terms: 0.66x + 2.25x = 2.91x
-3.3 + 2.91x = 2.5 + -2.25x + 2.25x

Combine like terms: -2.25x + 2.25x = 0.00
-3.3 + 2.91x = 2.5 + 0.00
-3.3 + 2.91x = 2.5

Add '3.3' to each side of the equation.
-3.3 + 3.3 + 2.91x = 2.5 + 3.3

Combine like terms: -3.3 + 3.3 = 0.0
0.0 + 2.91x = 2.5 + 3.3
2.91x = 2.5 + 3.3

Combine like terms: 2.5 + 3.3 = 5.8
2.91x = 5.8

Divide each side by '2.91'.
x = 1.993127148

Simplifying
x = 1.993127148

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