The answer is w=5
Move variable to the left side and change its sign
-4w+7=-10w+37
Move variable to the left by adding its opposite to both sides
-4w + 10w + 7 =-10w +10w+ 37
Eliminate the opposites
-4w + 10w + 7 = 37
Move constant to the right by adding its opposite to both sides
-4w + 10w + 7 - 7 = 37 -7
And Eliminate the opposites
-4w + 10w= 37-7
Collect like terms by calculating the sum or difference of their coefficients
-4w + 10w
=
(-4+10)w
Calculate the sum
6w
6w=37-7
Subtract the numbers
6w= 30
Divide both sides of the equation by 6
6w ÷ 6 = 30 ÷ 6
Any expression divided by itself equals 1
W=30÷6
30 ÷ 6 =
w=5