Question

Solve for x......

`4x + 10 = 2x + 26`
​

Answer 1

x=8

Step-by-step explanation:

4x+10 = 2x+26

4x-2x+10=2x-2x+26 [Subtract 2x from both sides]

2x+10=26

2x + 10 - 10 = 26 - 10 [Subtract 10 from both sides]

2x = 1

2x/2 = 16/2 [Divide both sides by 2]

x = 8

CHECK:

Does 4x+10 = 2x+26 when x is 8?

4(8)+10 = 2*(8)+26 ?

32+10 = 16+26 ?

42 = 42 YES

Answer 2

`\large \boxed{\sf x =8}`

Step-by-step explanation:

`\sf \rightarrow 4x + 10 = 2x + 26`

collect like terms

`\sf \rightarrow 4x -2x = 26-10`

subtract like terms

`\sf \rightarrow 2x = 16`

divide both sides by 2

`\sf \rightarrow x = 8`