0.4(4x-5)=0.4(x+4)

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Solution for 0.4(4x-5)=0.4(x+4) equation:


Simplifying
0.4(4x + -5) = 0.4(x + 4)

Reorder the terms:
0.4(-5 + 4x) = 0.4(x + 4)
(-5 * 0.4 + 4x * 0.4) = 0.4(x + 4)
(-2 + 1.6x) = 0.4(x + 4)

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

Solving
-2 + 1.6x = 1.6 + 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.
-2 + 1.6x + -0.4x = 1.6 + 0.4x + -0.4x

Combine like terms: 1.6x + -0.4x = 1.2x
-2 + 1.2x = 1.6 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-2 + 1.2x = 1.6 + 0.0
-2 + 1.2x = 1.6

Add '2' to each side of the equation.
-2 + 2 + 1.2x = 1.6 + 2

Combine like terms: -2 + 2 = 0
0 + 1.2x = 1.6 + 2
1.2x = 1.6 + 2

Combine like terms: 1.6 + 2 = 3.6
1.2x = 3.6

Divide each side by '1.2'.
x = 3

Simplifying
x = 3

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