Question

-0,4(6X-5)-13=2,5(3X-2)+23

Answer 1

Ответ:

-0,4(6х-5)-13=2,5(3х-2)+23

-2,4х+2-13=7,5х-5+23

-2,4х-11=7,5х+18

-2,4х-7,5х=18+11

-9,9х=29

х=-290/99

Answer 2

Ответ:

$-2\frac{92}{99}$

Объяснение:

$-0.4(6x-5)-13 = 2.5(3x-2)+23\\-2.4x+2-13 = 7.5x-5+23\\-2.4x-11=7.5x+18\\-2.4x-7.5x=18+11\\-9.9x = 29\\x=29:(-9.9)\\x=-\frac{29}{9.9} = -\frac{290}{99} =-2\frac{92}{99}$

Answer 3

To solve the equation for $x$, follow these steps:

Given equation: $-0.4(6x - 5) - 13 = 2.5(3x - 2) + 23$

Step 1: Distribute the coefficients through the parentheses:

$-2.4x + 2 - 13 = 7.5x - 5 + 23$

Step 2: Combine like terms on both sides of the equation:

$-2.4x - 11 = 7.5x + 18$

Step 3: Move all $x$ terms to one side and all constant terms to the other side:

$-2.4x - 7.5x = 18 + 11$

$-10.9x = 29$

Step 4: Solve for $x$:

$x = \frac{29}{-10.9}$

$x \approx -2.66055$

So, the solution for $x$ is approximately -2.66055.