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

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


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

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

Combine like terms: 5 + 12 = 17
17 + -4b = -7b + 10

Reorder the terms:
17 + -4b = 10 + -7b

Solving
17 + -4b = 10 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
17 + -4b + 7b = 10 + -7b + 7b

Combine like terms: -4b + 7b = 3b
17 + 3b = 10 + -7b + 7b

Combine like terms: -7b + 7b = 0
17 + 3b = 10 + 0
17 + 3b = 10

Add '-17' to each side of the equation.
17 + -17 + 3b = 10 + -17

Combine like terms: 17 + -17 = 0
0 + 3b = 10 + -17
3b = 10 + -17

Combine like terms: 10 + -17 = -7
3b = -7

Divide each side by '3'.
b = -2.333333333

Simplifying
b = -2.333333333

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