Question

0,4×(4x-0,2)=-4,5-(1,6x-2,5)

Answer 1

$0,4*(4x-0,2)=-4,5-(1,6x-2,5)\\1,6x-0,08=-4,5-1,6x+2,5\\3,2x=-4,5-+2,5+0,08\\3,2x=-1,92\\x=-0,6$

Answer 2

Let's solve the equation step by step:

0.4 × (4x - 0.2) = -4.5 - (1.6x - 2.5)

First, let's simplify the expression on the left side by distributing 0.4:

1.6x - 0.08 = -4.5 - (1.6x - 2.5)

Next, simplify the expression on the right side by removing the parentheses:

1.6x - 0.08 = -4.5 - 1.6x + 2.5

Combine like terms on the right side:

1.6x - 0.08 = -6.1 - 1.6x

Now, let's bring the variable terms (1.6x) to one side and the constant terms (-0.08 and -6.1) to the other side:

1.6x + 1.6x = -6.1 + 0.08

Add the variable terms:

3.2x = -6.02

Finally, divide both sides by 3.2 to solve for x:

x = -6.02 / 3.2

Simplifying the division:

x ≈ -1.88125

Therefore, the solution to the equation is x ≈ -1.88125.