35 more than 8 times a number
.Let that number be x
35 more than 8 times the number x is written as 35+8x
And 43 less than the product of -7 and the number is written as 43 - -7x
=43+7x
and from the question, the two equations are equal,so we just place the equal sign between the two expression and solve for X
Thus
35+8x=43+7x
Grouping of like terms
8x-7x = 43-35
X = 8 .