Question

Solves the following equation for a. Show steps for full credit.
4a + 10 = 2a + 26

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{a = 8}}}}}`

Explanation:

`\sf{4a + 10 = 2a + 26}`

Move 2a to left hand side and change it's sign

Similarly, move 10 to right hand side and change it's sign

⇒
`\sf{4a - 2a =26 - 10}`

Collect like terms

⇒
`\sf{2a = 26 - 10}`

Subtract 10 from 26

⇒
`\sf{2a = 16}`

Divide both sides of the equation by 2

⇒
`\sf{ (2a)/(2) = (16)/(2) }`

Calculate

⇒
`\sf{a = 8}`

Hope I helped!

Best regards!!