Question

8x+14=5x+6x-10 solve for x

Answer 1

Combining like terms and solving for \( x \):

\( 8x + 14 = 5x + 6x - 10 \)

\( 8x + 14 = 11x - 10 \)

By subtracting \( 8x \) from both sides:
\( 14 = 3x - 10 \)

Adding 10 to both sides:
\( 24 = 3x \)

Dividing by 3:
\( x = 8 \)

Answer 2

x = 8

Explanation:

given

8x + 14 = 5x + 6x - 10 ← collect like terms on right side

8x + 14 = 11x - 10 ( subtract 11x from both sides )

8x - 11x + 14 = 11x - 11x - 10 ( simplify both sides )

- 3x + 14 = - 10 ( subtract 14 from both sides )

- 3x + 14 - 14 = - 10 - 14 ( simplify both sides )

- 3x = - 24 ( divide both sides by - 3 )

`(-3)/(-3)` x =
`(-24)/(-3)` , that is

x = 8