160k views
0 votes
Solve the equation:
10x+2(x-6)=3(4x-4)

User Jacey
by
4.1k points

1 Answer

9 votes

Answer:

Infinite solutions

Explanation:

First, distribute the values to the parentheses by multiplying the number on the outside by everything on the inside:
2(x-6) = 2x - 12
3(4x-4) = 12x - 12

Rewrite the equation with your new numbers:
10x + 2x - 12 = 12x - 12

Add like terms on both sides:
10x + 2x = 12x

Simplify:
12x - 12 = 12x - 12

Because the values on both sides of the equation are the exact same, there are infinitely many solutions. Any number substituted for x would make this equation true.

User MGPJ
by
3.8k points