Question

Solve: -3= 12x - 5(2x - 7)

X = -19
19
71 =
=-11
10
11
I= 19

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 19}}}}}`

Explanation:

`\sf{ - 3 = 12x - 5(2x - 7)}`

Distribute 5 through the parentheses

⇒
`\sf{ - 3 = 12x - 10x + 35}`

Collect like terms

⇒
`\sf{ - 3 = 2x + 35}`

Swap the sides of the equation

⇒
`\sf{2x + 35 = - 3}`

Move 45 to right hand side and change it's sign

⇒
`\sf{2x = - 3 - 35}`

Calculate

⇒
`\sf{2x = - 38}`

Divide both sides of the equation by 2

⇒
`\sf{ (2x)/(2) = ( - 38)/(2) }`

Calculate

⇒
`\sf{x = - 19}`

Hope I helped!

Best regards!!