8(j-7)=3(1+(j+4))

Solution for 8(j-7)=3(1+(j+4)) equation:

Simplifying
8(j + -7) = 3(1 + (j + 4))

Reorder the terms:
8(-7 + j) = 3(1 + (j + 4))
(-7 * 8 + j * 8) = 3(1 + (j + 4))
(-56 + 8j) = 3(1 + (j + 4))

Reorder the terms:
-56 + 8j = 3(1 + (4 + j))

Remove parenthesis around (4 + j)
-56 + 8j = 3(1 + 4 + j)

Combine like terms: 1 + 4 = 5
-56 + 8j = 3(5 + j)
-56 + 8j = (5 * 3 + j * 3)
-56 + 8j = (15 + 3j)

Solving
-56 + 8j = 15 + 3j

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-3j' to each side of the equation.
-56 + 8j + -3j = 15 + 3j + -3j

Combine like terms: 8j + -3j = 5j
-56 + 5j = 15 + 3j + -3j

Combine like terms: 3j + -3j = 0
-56 + 5j = 15 + 0
-56 + 5j = 15

Add '56' to each side of the equation.
-56 + 56 + 5j = 15 + 56

Combine like terms: -56 + 56 = 0
0 + 5j = 15 + 56
5j = 15 + 56

Combine like terms: 15 + 56 = 71
5j = 71

Divide each side by '5'.
j = 14.2

Simplifying
j = 14.2