0.3(x-0.1)-0.5(2x-3)=0.27

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Solution for 0.3(x-0.1)-0.5(2x-3)=0.27 equation: 


Simplifying
0.3(x + -0.1) + -0.5(2x + -3) = 0.27

Reorder the terms:
0.3(-0.1 + x) + -0.5(2x + -3) = 0.27
(-0.1 * 0.3 + x * 0.3) + -0.5(2x + -3) = 0.27
(-0.03 + 0.3x) + -0.5(2x + -3) = 0.27

Reorder the terms:
-0.03 + 0.3x + -0.5(-3 + 2x) = 0.27
-0.03 + 0.3x + (-3 * -0.5 + 2x * -0.5) = 0.27
-0.03 + 0.3x + (1.5 + -1x) = 0.27

Reorder the terms:
-0.03 + 1.5 + 0.3x + -1x = 0.27

Combine like terms: -0.03 + 1.5 = 1.47
1.47 + 0.3x + -1x = 0.27

Combine like terms: 0.3x + -1x = -0.7x
1.47 + -0.7x = 0.27

Solving
1.47 + -0.7x = 0.27

Solving for variable 'x'.

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

Add '-1.47' to each side of the equation.
1.47 + -1.47 + -0.7x = 0.27 + -1.47

Combine like terms: 1.47 + -1.47 = 0.00
0.00 + -0.7x = 0.27 + -1.47
-0.7x = 0.27 + -1.47

Combine like terms: 0.27 + -1.47 = -1.2
-0.7x = -1.2

Divide each side by '-0.7'.
x = 1.714285714

Simplifying
x = 1.714285714

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