Question

А) -(x + 15.4) = - 5.4 + (3.7 - 2x) б) x + 12.3 - 5(x-5.9) = 8.6

Answer 1

Ответ:

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Answer 2

Let's solve the equations step by step:

a) -(x + 15.4) = -5.4 + (3.7 - 2x)

First, let's simplify the equation:

-(x + 15.4) = -5.4 + 3.7 - 2x

Next, distribute the negative sign:

-x - 15.4 = -5.4 + 3.7 - 2x

Combine like terms:

-x - 15.4 = -1.7 - 2x

To isolate the x term, let's move all the terms containing x to one side of the equation:

-x + 2x = -1.7 + 15.4

Simplify:

x = 13.7

Therefore, the solution to the equation is x = 13.7.

b) x + 12.3 - 5(x - 5.9) = 8.6

First, let's simplify the equation:

x + 12.3 - 5x + 29.5 = 8.6

Combine like terms:

-4x + 41.8 = 8.6

Next, let's move the constant term to the other side of the equation:

-4x = 8.6 - 41.8

Simplify:

-4x = -33.2

To solve for x, divide both sides of the equation by -4:

x = (-33.2) / (-4)

Simplify:

x = 8.3

Therefore, the solution to the equation is x = 8.3.