Question

Solve 5x + 6 = 3x - 10​

Answer 1

$\boxed{x\:=\:-8 }$

$\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}$

$5x + 6 = 3x - 10$

$➺ \: 5x - 3x = - 10 - 6$

$➺ \: 2x = - 16$

$➺ \: x = \frac{ - 16}{2}$

$➺ \: x = - 8$

$\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}$

$5x + 6 = 3x - 10$

$➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10$

$➼ \: - 40 + 6 = - 24 - 10$

$➼ \: - 34 = - 34$

$➼ \: L.H.S.=R. H. S$

Hence verified.

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}$

Answer 2

Answer:

-8

Step-by-step explanation:

5x + 6 = 3x − 10

Subtract 3x from both sides:

5x + 6 - 3x = 3x - 10 - 3x

2x + 6 = -10

Subtract from 6 both sides:

2x + 6 - 6 = -10 - 6

2x = -16

Divide both sides by 2:

2x         -16

____ = ____

  2           2

      -16

x = ____   (divide)

        2

final answer: x = -8