Question

What is the value of a if (2a+3)−(4a−8)=7?

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{a = 2}}}}}$

Step-by-step explanation:

$\sf{(2a + 3) - (4a - 8) = 7}$

When there is a ( - ) in front of an expression in parentheses , change the sign of sign of each term in the expression

$\longrightarrow{ \sf{2a + 3 - 4a + 8 = 7}}$

Collect like terms

$\longrightarrow{ \sf{ - 2a + 3 + 8 = 7}}$

Add the numbers: 3 and 8

$\longrightarrow{ \sf{ - 2a + 11 = 7}}$

Move 11 to right hand side and change it's sign

$\longrightarrow{ \sf{ - 2a = 7 - 11}}$

Subtract 11 from 7

$\longrightarrow{ \sf{ - 2a = - 4}}$

Divide both sides by -2

$\longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{ - 4}{ - 2} }}$

Calculate

$\longrightarrow{ \sf{a = 2}}$

Hope I helped!

Best regards! :D

Answer 2

Answer:

Step-by-step explanation:

2a + 3 - 4a + 8 = 7

-2a + 11 = 7

-2a = -4

a = 2