Question

Solve for x.
5x – 7 = 8x – 4

Answer 1

x = -1

Explanation:

`5x - 7 = 8x - 4\\`

Collect like terms and simplify

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

Divide both sides of the equation by -3

`(-3x)/(-3) = (3)/(-3) \\\\x =-1`

Answer 2

x =-1

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\\(-3x)/(-3)=(3)/(-3)\\\\Simplify\\x=-1`