Question

Solve for x. 5x - 4 = -3x + 12

Answer 1

Explanation:

5x+3x=12+4

8x=16

x=16÷8

x=2

Answer 2

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

Explanation:

`\sf{5x - 4 = - 3x + 12}`

Move 3x to left hand side and change it's sign

⇒
`\sf{5x + 3x - 4 = 12}`

Move 4 to right hand side and change it's sign

⇒
`\sf{5x + 3x = 12 + 4}`

Collect like terms

⇒
`\sf{8x = 12 + 4}`

Add the numbers

⇒
`\sf{8x = 16}`

Divide both sides of the equation by 8

⇒
`\sf{ (8x)/(8) = (16)/(8) }`

Calculate

⇒
`\sf{x = 2}`

Hope I helped!

Best regards!!