0.4(2x+0.3)=0.3(6x-7.2)

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Solution for 0.4(2x+0.3)=0.3(6x-7.2) equation: 


Simplifying
0.4(2x + 0.3) = 0.3(6x + -7.2)

Reorder the terms:
0.4(0.3 + 2x) = 0.3(6x + -7.2)
(0.3 * 0.4 + 2x * 0.4) = 0.3(6x + -7.2)
(0.12 + 0.8x) = 0.3(6x + -7.2)

Reorder the terms:
0.12 + 0.8x = 0.3(-7.2 + 6x)
0.12 + 0.8x = (-7.2 * 0.3 + 6x * 0.3)
0.12 + 0.8x = (-2.16 + 1.8x)

Solving
0.12 + 0.8x = -2.16 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
0.12 + 0.8x + -1.8x = -2.16 + 1.8x + -1.8x

Combine like terms: 0.8x + -1.8x = -1x
0.12 + -1x = -2.16 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
0.12 + -1x = -2.16 + 0.0
0.12 + -1x = -2.16

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -1x = -2.16 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -1x = -2.16 + -0.12
-1x = -2.16 + -0.12

Combine like terms: -2.16 + -0.12 = -2.28
-1x = -2.28

Divide each side by '-1'.
x = 2.28

Simplifying
x = 2.28

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