Question

7(2x+5)-6(x+8)=7 solve the following equation​

Answer 1

14x+5-6x-48=7

14x-6x+5-48=7

8x-43=7

8x=7+43

8x=50

x=25/4

x=6.25

hope it helps you.

Answer 2

Answer:

$\sf{ \frac{5}{2} }$

Solution:

$\sf{7(2x + 5) - 6(x + 8) = 7}$

• Using distributive property to multiply 7 by 2x + 5

$\sf \rightsquigarrow \: \: {14x + 35 - 6(x + 8) = 7}$

• Using distributive property to multiply -6 by x + 8

$\sf \rightsquigarrow \: \: {14x + 35 - 6x - 48 = 7}$

• Combine 14x and -6x to get 8x

$\sf \rightsquigarrow \: \: {8x + 35 - 48 = 7}$

• Subtracting 48 from 35 to get -13

$\sf \rightsquigarrow \: \: {8x - 13 = 7}$

• Adding 13 to both sides

$\sf \rightsquigarrow \: \: {8x = 7 + 13}$

• Adding 7 and 13 to get 20

$\sf \rightsquigarrow \: \: {8x = 20}$

• Dividing both sides by 8

$\sf \rightsquigarrow \: \: {x = \frac { \cancel{20}}{ \cancel8} }$

$\sf \rightsquigarrow \bf \: \: {x = \frac{5}{2} }$