Question

Solve the equation: 5( 1 – 2w ) + 8w = 15

Answer 1

Answer:

$5(1 - 2w) + 8w = 15 \\ = > 5 - 10w + 8w = 15 \\ = > 5 - 2w = 15 \\ = > - 2w = 15 - 5 \\ = > - 2w = 10 \\ = > w \: = \frac{ - 10}{2} \\ = > w = - 5$

Answer 2

Answer:

$\large\boxed{\sf{w=-5}}$

Step-by-step explanation:

Given a linear equation such that,

5( 1 - 2w) + 8w = 15

To solve this equation.

Multiply the terms in bracket, we will get,

=> 5×1 - 5×2w + 8w = 15

=> 5 - 10w + 8w = 15

Now, adding the like terms,

=> 5 - 2w = 15

=> -2w = 15 - 5

=> -2w = 10

=> 2w = -10

=> w = -10/2

=> w = -5

Hence, the value of w = -5

Verification:

Putting the value of w = -5, we will get,

=> L.H.S

= 5(1-2(-5)) +8(-5)

= 5(1+10) - 40

= 5(11) - 40

= 55 - 40

= 15

= R.H.S

Thus, Verified