10+7b=4(b+3)-5

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Solution for 10+7b=4(b+3)-5 equation:


Simplifying
10 + 7b = 4(b + 3) + -5

Reorder the terms:
10 + 7b = 4(3 + b) + -5
10 + 7b = (3 * 4 + b * 4) + -5
10 + 7b = (12 + 4b) + -5

Reorder the terms:
10 + 7b = 12 + -5 + 4b

Combine like terms: 12 + -5 = 7
10 + 7b = 7 + 4b

Solving
10 + 7b = 7 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
10 + 7b + -4b = 7 + 4b + -4b

Combine like terms: 7b + -4b = 3b
10 + 3b = 7 + 4b + -4b

Combine like terms: 4b + -4b = 0
10 + 3b = 7 + 0
10 + 3b = 7

Add '-10' to each side of the equation.
10 + -10 + 3b = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 3b = 7 + -10
3b = 7 + -10

Combine like terms: 7 + -10 = -3
3b = -3

Divide each side by '3'.
b = -1

Simplifying
b = -1

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