1/2(6x-2)=4/5(10x-5)+43
We need to distribute.
Multiply the inside of the parenthesis on the left side by 1/2. You get:
3x - 1
Multiply the right side... by 4/5 You get:
8x-4 (and then you tack the +43 onto that.
Your distributed equation looks like this:
3x - 1 = 8x-4 + 43
Now solve for x by moving the x terms from the right to the left using subtraction and the -1 from the left to the right using the same process.
3x - 8x = -4 + 43 + 1
Solve:
-5x = 40
x = -8
Check your work by subbing -8 in for x.
1/2(-50)=4/5(-85)+43
-25 = -25 Yes. It checks out.
25 =