Answer:
x = 15
Explanation:
-4(x-1) + 6x = 34 --- distribute the -4 by multiplying
-4x + 4 + 6x = 34
-4x + 6x + 4 = 34 --- rewrite/group like terms and combine
2x + 4 = 34 --- now you need to isolate the variable x
2x - 4 = 34 - 4 --- subtract 4 from each side
2x = 30 --- divide each side by 2 (inverse operation of multiplication)
x = 15
Then to check, plug in 15 for x:
-4(15-1) + 6x = 34
-60 + 4 + 6x = 34
-56 + 6x = 34
-56 + 56 + 6x = 34 + 56
6x = 90 ---divide each side by 6 (inverse op of multiplication)
x = 15