0.4(4x-3)=1.2(x+2)

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Solution for 0.4(4x-3)=1.2(x+2) equation: 


Simplifying
0.4(4x + -3) = 1.2(x + 2)

Reorder the terms:
0.4(-3 + 4x) = 1.2(x + 2)
(-3 * 0.4 + 4x * 0.4) = 1.2(x + 2)
(-1.2 + 1.6x) = 1.2(x + 2)

Reorder the terms:
-1.2 + 1.6x = 1.2(2 + x)
-1.2 + 1.6x = (2 * 1.2 + x * 1.2)
-1.2 + 1.6x = (2.4 + 1.2x)

Solving
-1.2 + 1.6x = 2.4 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-1.2 + 1.6x + -1.2x = 2.4 + 1.2x + -1.2x

Combine like terms: 1.6x + -1.2x = 0.4x
-1.2 + 0.4x = 2.4 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-1.2 + 0.4x = 2.4 + 0.0
-1.2 + 0.4x = 2.4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.4x = 2.4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.4x = 2.4 + 1.2
0.4x = 2.4 + 1.2

Combine like terms: 2.4 + 1.2 = 3.6
0.4x = 3.6

Divide each side by '0.4'.
x = 9

Simplifying
x = 9

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