Answer:
x = -24/7
Explanation:
To solve, you need to multiply both sides by 10 ( the GCF of 5 and 2) to get rid of the fractions. Once multiplied, you get this:
2(4x-2) + 5(1) = 5(3x+7) - 10(1)
Now, just distribute the parenthesis:
8x - 4 + 5 = 15x + 35 - 10
Now, combine like terms:
8x + 1 = 15x + 25
15x + 25 = 8x + 1 (rearranged the equation)
Subtract the x's:
7x + 25 = 1
Now solve:
7x = -24
x = -24/7