Question

Solve for x.
5x – 7 = 8x – 4

Answer 1

Answer:

x =-1

Step-by-step explanation:

$5x- 7 = 8x - 4\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\5x-7+7=8x-4+7\\\\Simplify\\5x=8x+3\\\\\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}\\5x-8x=8x+3-8x\\\\Simplify\\-3x =3\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{3}{-3}\\\\Simplify\\x=-1$

Answer 2

Answer:

x = -1

Step-by-step explanation:

$5x - 7 = 8x - 4$

Collect like terms and simplify

$5x-8x =-4+7\\-3x =3$

Divide both sides of the equation by -3

$\frac{-3x}{-3} = \frac{3}{-3} \\\\x =-1$