Answer:
w = 12
Step-by-step explanation:
2(4w-1)=-10(w-3)+4
2*4w + 2*-1 = (10*w + 10*-3) + 4
8w - 2 = 10w - 30 + 4
8w - 2 = 10w - 26
26 - 2 = 10w - 8w
24 = 2w
w = 24/2
Check:
2((4*12)-1) = 10(12-3) + 4
2(48-1) = 10(9) + 4
2*47 = 90 + 4 = 94
[tex]2 \times 4w - 2 \times 1 = 10 \times w - 10 \times 3 + 4 \\ 8w - 2 = 10w - 30 + 4 \\ collect \: like \: terms \\ 8w - 10w = - 30 + 4 + 2 \\ - 2w = - 24 \\ divide \: both \: side \: by \: - 2 \\ - 2w \div - 2 = - 24 \div - 2 \\ w = 12[/tex]
