3(7-2)(j+8)=4(4j+2)

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Solution for 3(7-2)(j+8)=4(4j+2) equation: 


Simplifying
3(7 + -2)(j + 8) = 4(4j + 2)

Combine like terms: 7 + -2 = 5
3(5)(j + 8) = 4(4j + 2)

Reorder the terms:
3 * 5(8 + j) = 4(4j + 2)

Multiply 3 * 5
15(8 + j) = 4(4j + 2)
(8 * 15 + j * 15) = 4(4j + 2)
(120 + 15j) = 4(4j + 2)

Reorder the terms:
120 + 15j = 4(2 + 4j)
120 + 15j = (2 * 4 + 4j * 4)
120 + 15j = (8 + 16j)

Solving
120 + 15j = 8 + 16j

Solving for variable 'j'.

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

Add '-16j' to each side of the equation.
120 + 15j + -16j = 8 + 16j + -16j

Combine like terms: 15j + -16j = -1j
120 + -1j = 8 + 16j + -16j

Combine like terms: 16j + -16j = 0
120 + -1j = 8 + 0
120 + -1j = 8

Add '-120' to each side of the equation.
120 + -120 + -1j = 8 + -120

Combine like terms: 120 + -120 = 0
0 + -1j = 8 + -120
-1j = 8 + -120

Combine like terms: 8 + -120 = -112
-1j = -112

Divide each side by '-1'.
j = 112

Simplifying
j = 112

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