Question

8. Solve each of the following equations.
(a) -3(2-x) = 6x
(b) 5 - 3x = -6(x + 2)​

Answer 1

a) - 6 + 3x = 6x

-6 = 3x

x = - 1/2

b ) 5 - 3x = -6x - 12

17 = -3x

x = - 17 / 3

Answer 2

(A. )

Let's solve your equation step-by-step.

$−3(2−x)=6x$

Step 1: Simplify both sides of the equation.

$(−3)(2)+(−3)(−x)=6x \\ </u></strong><strong><u>(</u></strong><strong><u>Distribute</u></strong><strong><u>)</u></strong><strong><u> </u></strong>−6+3x=6x$

$3x−6=6x$

Step 2: Subtract 6x from both sides.

$3x−6−6x=6x−6x$

$−3x−6=0$

Step 3: Add 6 to both sides.

$−3x−6+6=0+6</u></strong></p><p></p><p></p><p><strong><u>−3x−6+6=0+6$

$−3x=6$

Step 4: Divide both sides by -3.

$\frac{ - 3x}{ - 3} = \frac{6}{ - 3}$

Answer:

$x=−2$

(B.)

Let's solve your equation step-by-step.

$5−3x=−6(x+2)$

Step 1: Simplify both sides of the equation.

$5−3x=−6(x+2)$

$5+−3x=(−6)(x)+(−6)(2) \\ (Distribute)$

$5+−3x=−6x+−12$

$−3x+5=−6x−12$

Step 2: Add 6x to both sides.

$−3x+5+6x=−6x−12+6x$

$3x+5=−12$

Step 3: Subtract 5 from both sides.

$3x+5−5=−12−5$

$3x=−17$

Step 4: Divide both sides by 3.

$\frac{3x}{3} = \frac{ - 17}{3}$

Answer:

$x = \frac{ - 17}{3}$

$=$

$-5.666667 \\ (decimal)$