Answer:
x = 1
Step-by-step explanation:
3(x − 2) + 5 = 2(5x − 4)
Distributive property
3 * x - 3 * 2 + 5 = 2 * 5x - 2 * 4
3x - 6 + 5 = 10x - 8
Combine like terms
3x - 1 = 10x - 8
Add 8 on both sides
3x - 1 + 8 = 10x - 8 + 8
3x + 7 = 10x
Subtract 3x on both sides
3x - 3x + 7 = 10x - 3x
7 = 7x
Divide by 7 on both sides to isolate the variable
7/7 = 7x/7
1 = x
Check
3(x − 2) + 5 = 2(5x − 4)
Replace the "x" with 1
3 ( 1 - 2 ) + 5 = 2 ( 5 * 1 - 4)
3 * -1 + 5 = 2 * 1
2 = 2
Correct
Hope this helped!
Have a supercalifragilisticexpialidocious day!
