0.25(18-3x)-0.2(12-x)=1

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Solution for 0.25(18-3x)-0.2(12-x)=1 equation: 


Simplifying
0.25(18 + -3x) + -0.2(12 + -1x) = 1
(18 * 0.25 + -3x * 0.25) + -0.2(12 + -1x) = 1
(4.5 + -0.75x) + -0.2(12 + -1x) = 1
4.5 + -0.75x + (12 * -0.2 + -1x * -0.2) = 1
4.5 + -0.75x + (-2.4 + 0.2x) = 1

Reorder the terms:
4.5 + -2.4 + -0.75x + 0.2x = 1

Combine like terms: 4.5 + -2.4 = 2.1
2.1 + -0.75x + 0.2x = 1

Combine like terms: -0.75x + 0.2x = -0.55x
2.1 + -0.55x = 1

Solving
2.1 + -0.55x = 1

Solving for variable 'x'.

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

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -0.55x = 1 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -0.55x = 1 + -2.1
-0.55x = 1 + -2.1

Combine like terms: 1 + -2.1 = -1.1
-0.55x = -1.1

Divide each side by '-0.55'.
x = 2

Simplifying
x = 2

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