-4[4-(3b+4)]=5-4(3b+7)

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Solution for -4[4-(3b+4)]=5-4(3b+7) equation:


Simplifying
-4[4 + -1(3b + 4)] = 5 + -4(3b + 7)

Reorder the terms:
-4[4 + -1(4 + 3b)] = 5 + -4(3b + 7)
-4[4 + (4 * -1 + 3b * -1)] = 5 + -4(3b + 7)
-4[4 + (-4 + -3b)] = 5 + -4(3b + 7)

Combine like terms: 4 + -4 = 0
-4[0 + -3b] = 5 + -4(3b + 7)
-4[-3b] = 5 + -4(3b + 7)

Remove brackets around [-3b]
-4 * -3b = 5 + -4(3b + 7)

Multiply -4 * -3
12b = 5 + -4(3b + 7)

Reorder the terms:
12b = 5 + -4(7 + 3b)
12b = 5 + (7 * -4 + 3b * -4)
12b = 5 + (-28 + -12b)

Combine like terms: 5 + -28 = -23
12b = -23 + -12b

Solving
12b = -23 + -12b

Solving for variable 'b'.

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

Add '12b' to each side of the equation.
12b + 12b = -23 + -12b + 12b

Combine like terms: 12b + 12b = 24b
24b = -23 + -12b + 12b

Combine like terms: -12b + 12b = 0
24b = -23 + 0
24b = -23

Divide each side by '24'.
b = -0.9583333333

Simplifying
b = -0.9583333333

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