Question

0,4(x − 3) + 2,5 = 0,5(4 + x

Answer 1

0,4х-1,2+2,5=2+0,5х
-0,1х=0,7
х=-7

Answer 2

1) 0,4(x-3)+2,5=0,5(4+x)      2) (x-4)/4=(x+3)/7
    0,4x-1,2+2,5=2+0,5x             (x-4)*7=(x+3)*4
    0,4x-0,5x=2+1,2-2,5              7x-28=4x+12
    -0,1x=0,7                               7x-4x=12+28
     x=0,7:(-0,1)=-7                      3x=40
                                                   x=40:3=13(1/3)

Answer 3

To solve the equation, we'll first simplify the expression and then isolate the variable (x) on one side of the equation. Here's the step-by-step process:

1. Distribute the numbers in the parentheses: 0.4(x - 3) + 2.5 = 0.5(4 + x)

0.4x - 0.43 + 2.5 = 0.54 + 0.5x

0.4x - 1.2 + 2.5 = 2 + 0.5x

2. Combine like terms on each side of the equation: 0.4x + 1.3 = 2 + 0.5x

3. Now, isolate the variable (x) on one side of the equation. To do this, we'll move all terms containing 'x' to one side and the constant terms to the other side. Let's move the 0.5*x term to the left side:

0.4x - 0.5x + 1.3 = 2

(0.4 - 0.5)*x + 1.3 = 2

-0.1*x + 1.3 = 2

4. Next, get rid of the constant term on the left side by subtracting 1.3 from both sides:

-0.1*x + 1.3 - 1.3 = 2 - 1.3

-0.1*x = 0.7

5. Finally, solve for x by dividing both sides by -0.1:

x = 0.7 / -0.1

x = -7

So, the solution to the equation is x = -7.