.3(2x-.6)=.5x-2x+2.7

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Solution for .3(2x-.6)=.5x-2x+2.7 equation:


Simplifying
0.3(2x + -0.6) = 0.5x + -2x + 2.7

Reorder the terms:
0.3(-0.6 + 2x) = 0.5x + -2x + 2.7
(-0.6 * 0.3 + 2x * 0.3) = 0.5x + -2x + 2.7
(-0.18 + 0.6x) = 0.5x + -2x + 2.7

Reorder the terms:
-0.18 + 0.6x = 2.7 + 0.5x + -2x

Combine like terms: 0.5x + -2x = -1.5x
-0.18 + 0.6x = 2.7 + -1.5x

Solving
-0.18 + 0.6x = 2.7 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
-0.18 + 0.6x + 1.5x = 2.7 + -1.5x + 1.5x

Combine like terms: 0.6x + 1.5x = 2.1x
-0.18 + 2.1x = 2.7 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
-0.18 + 2.1x = 2.7 + 0.0
-0.18 + 2.1x = 2.7

Add '0.18' to each side of the equation.
-0.18 + 0.18 + 2.1x = 2.7 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 2.1x = 2.7 + 0.18
2.1x = 2.7 + 0.18

Combine like terms: 2.7 + 0.18 = 2.88
2.1x = 2.88

Divide each side by '2.1'.
x = 1.371428571

Simplifying
x = 1.371428571

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