0.08(2x+3)=0.4(x-3)

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Solution for 0.08(2x+3)=0.4(x-3) equation: 


Simplifying
0.08(2x + 3) = 0.4(x + -3)

Reorder the terms:
0.08(3 + 2x) = 0.4(x + -3)
(3 * 0.08 + 2x * 0.08) = 0.4(x + -3)
(0.24 + 0.16x) = 0.4(x + -3)

Reorder the terms:
0.24 + 0.16x = 0.4(-3 + x)
0.24 + 0.16x = (-3 * 0.4 + x * 0.4)
0.24 + 0.16x = (-1.2 + 0.4x)

Solving
0.24 + 0.16x = -1.2 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
0.24 + 0.16x + -0.4x = -1.2 + 0.4x + -0.4x

Combine like terms: 0.16x + -0.4x = -0.24x
0.24 + -0.24x = -1.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.24 + -0.24x = -1.2 + 0.0
0.24 + -0.24x = -1.2

Add '-0.24' to each side of the equation.
0.24 + -0.24 + -0.24x = -1.2 + -0.24

Combine like terms: 0.24 + -0.24 = 0.00
0.00 + -0.24x = -1.2 + -0.24
-0.24x = -1.2 + -0.24

Combine like terms: -1.2 + -0.24 = -1.44
-0.24x = -1.44

Divide each side by '-0.24'.
x = 6

Simplifying
x = 6

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