5(3b-2)=4(2b+3)+34

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Solution for 5(3b-2)=4(2b+3)+34 equation:


Simplifying
5(3b + -2) = 4(2b + 3) + 34

Reorder the terms:
5(-2 + 3b) = 4(2b + 3) + 34
(-2 * 5 + 3b * 5) = 4(2b + 3) + 34
(-10 + 15b) = 4(2b + 3) + 34

Reorder the terms:
-10 + 15b = 4(3 + 2b) + 34
-10 + 15b = (3 * 4 + 2b * 4) + 34
-10 + 15b = (12 + 8b) + 34

Reorder the terms:
-10 + 15b = 12 + 34 + 8b

Combine like terms: 12 + 34 = 46
-10 + 15b = 46 + 8b

Solving
-10 + 15b = 46 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
-10 + 15b + -8b = 46 + 8b + -8b

Combine like terms: 15b + -8b = 7b
-10 + 7b = 46 + 8b + -8b

Combine like terms: 8b + -8b = 0
-10 + 7b = 46 + 0
-10 + 7b = 46

Add '10' to each side of the equation.
-10 + 10 + 7b = 46 + 10

Combine like terms: -10 + 10 = 0
0 + 7b = 46 + 10
7b = 46 + 10

Combine like terms: 46 + 10 = 56
7b = 56

Divide each side by '7'.
b = 8

Simplifying
b = 8

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