Question

-3×(6x+5)-(8+12x)+(9x-2)=5×(12x+4)​

Answer 1

Ответ:

$x=-\frac{5}{81}$

Пошаговое объяснение:

$-3(6x+5)-(8+12x)+(9x-2)=5(12x+4)\\-18x-15-8-12x+9x-2=60x+20\\-21x-25=60x+20\\-5=81x\\x=-\frac{5}{81}$

Answer 2

Ответ:

$x=-\frac{5}{9}$

Пошаговое объяснение:

$-3(6x+5)-(8+12x)+(9x-2)=5(12x+4)\\-18x-15-8-12x+9x-2=60x+20\\-18x-12x+9x-60x=20+15+8+2\\-81x=45\\x=-\frac{45}{81} =-\frac{5}{9}$

Проверка

$-3(6*-\frac{5}{9} +5)-(8+12*-\frac{5}{9} )+(9*-\frac{5}{9} -2)=-3(-\frac{10}{3} +5)-(8-\frac{20}{3} )+(-5-2)=-3(\frac{5}{3} )-(\frac{4}{3} )-7=-5-\frac{4}{3} -7=-\frac{15}{3} -\frac{4}{3} -\frac{21}{3} =-\frac{40}{3} =-13\frac{1}{3}$

$5(12*-\frac{5}{9} +4)=5*(-\frac{20}{3} +4)=5*(-\frac{20}{3} +\frac{12}{3} )5*(-\frac{8}{3} )=-\frac{40}{3} =-13\frac{1}{3}$

Answer 3

To solve the given equation:

-3×(6x+5)-(8+12x)+(9x-2)=5×(12x+4)

Let's simplify both sides step by step:

-3×(6x+5) = -18x - 15 (Distribute -3)

-(8+12x) = -8 - 12x (Distribute -1)

(9x-2) = 9x - 2

5×(12x+4) = 60x + 20 (Distribute 5)

Substituting these simplified expressions back into the original equation:

(-18x - 15) - (8 - 12x) + (9x - 2) = (60x + 20)

Now, let's simplify the equation further:

-18x - 15 - 8 + 12x + 9x - 2 = 60x + 20

Combine like terms:

-18x + 12x + 9x - 18 - 15 - 8 - 2 = 60x + 20

3x - 43 = 60x + 20

Move the x terms to one side and the constant terms to the other side:

3x - 60x = 20 + 43

-57x = 63

Divide both sides by -57 to solve for x:

x = 63 / -57

Simplifying the division:

x = -1.1053

Therefore, the solution to the equation is x = -1.1053.