Question

4-2(x-6)/3=1/2 (4x+6)

Answer 1

Answer:

answer in this picture okay

Answer 2

Step-by-step explanation:

Given:

$4-\frac{2(x-6)}{3}=\frac{1}{2} (4x + 6)$

To find: Solution of equation.

Solution:

Step 1: To simplify it more take 2 common from RHS

$4-\frac{2(x-6)}{3}=\frac{1}{2}.2.(2x + 3)$

now cancel it with 2 in denominator.

Thus, equation is now

$4-\frac{2(x-6)}{3}=(2x + 3)$

Step 2: Take 4 to RHS

$-\frac{2(x-6)}{3}=(2x + 3)-4$

$-\frac{2(x-6)}{3}=2x + 3-4$

or

$-\frac{2(x-6)}{3}=2x -1$

Step 3: Take 3 from LHS by cross multiplication

$-2(x-6)=3(2x -1)$

Open brackets

$-2x+12=6x -3$

Step 4: Take terms with x on one side and constant terms to other side and solve for x

$-2x-6x= -3-12$

$-8x = -15$

$8x = 15$

$x = \frac{15}{8}$

Final answer:

$\bold{\red{x = \frac{15}{8}}}$

Hope it helps you.

To learn more on brainly:

what is the solution to 2(x-1)+1/2 (4x+6)=5

https://brainly.in/question/48047587

Solution of the equation 2p - 15 = 12 - 3p is : 

https://brainly.in/question/47576812