2j+3[4j-1]=2[5j+3]+4

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Solution for 2j+3[4j-1]=2[5j+3]+4 equation:


Simplifying
2j + 3[4j + -1] = 2[5j + 3] + 4

Reorder the terms:
2j + 3[-1 + 4j] = 2[5j + 3] + 4
2j + [-1 * 3 + 4j * 3] = 2[5j + 3] + 4
2j + [-3 + 12j] = 2[5j + 3] + 4

Reorder the terms:
-3 + 2j + 12j = 2[5j + 3] + 4

Combine like terms: 2j + 12j = 14j
-3 + 14j = 2[5j + 3] + 4

Reorder the terms:
-3 + 14j = 2[3 + 5j] + 4
-3 + 14j = [3 * 2 + 5j * 2] + 4
-3 + 14j = [6 + 10j] + 4

Reorder the terms:
-3 + 14j = 6 + 4 + 10j

Combine like terms: 6 + 4 = 10
-3 + 14j = 10 + 10j

Solving
-3 + 14j = 10 + 10j

Solving for variable 'j'.

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

Add '-10j' to each side of the equation.
-3 + 14j + -10j = 10 + 10j + -10j

Combine like terms: 14j + -10j = 4j
-3 + 4j = 10 + 10j + -10j

Combine like terms: 10j + -10j = 0
-3 + 4j = 10 + 0
-3 + 4j = 10

Add '3' to each side of the equation.
-3 + 3 + 4j = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 4j = 10 + 3
4j = 10 + 3

Combine like terms: 10 + 3 = 13
4j = 13

Divide each side by '4'.
j = 3.25

Simplifying
j = 3.25

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