Question

What value of x makes the equation 2x+14=-6+12x true

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{x = 2}}}}}}`

Explanation:

`\sf{2x + 14 = - 6 + 12x}`

Move 12x to left hand side and change it's sign

⇒
`\sf{2x - 12x + 14 = - 6}`

Move 14 to left hand side and change it's sign

⇒
`\sf{2x - 12x = - 6 - 14}`

Collect like terms

⇒
`\sf{ - 10x = - 6 - 14}`

Calculate

⇒
`\sf{ - 10x = - 20}`

Divide both sides of the equation by -10

⇒
`\sf{ ( - 10x)/( - 10) = ( - 20)/( - 10) }`

Calculate

⇒
`\sf{x = 2}`

Hope I helped!

Best regards!!