0.3(6x-9)=2x-3

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Solution for 0.3(6x-9)=2x-3 equation:


Simplifying
0.3(6x + -9) = 2x + -3

Reorder the terms:
0.3(-9 + 6x) = 2x + -3
(-9 * 0.3 + 6x * 0.3) = 2x + -3
(-2.7 + 1.8x) = 2x + -3

Reorder the terms:
-2.7 + 1.8x = -3 + 2x

Solving
-2.7 + 1.8x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2.7 + 1.8x + -2x = -3 + 2x + -2x

Combine like terms: 1.8x + -2x = -0.2x
-2.7 + -0.2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2.7 + -0.2x = -3 + 0
-2.7 + -0.2x = -3

Add '2.7' to each side of the equation.
-2.7 + 2.7 + -0.2x = -3 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + -0.2x = -3 + 2.7
-0.2x = -3 + 2.7

Combine like terms: -3 + 2.7 = -0.3
-0.2x = -0.3

Divide each side by '-0.2'.
x = 1.5

Simplifying
x = 1.5

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