2(b-7)=5(b+3)-11

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Solution for 2(b-7)=5(b+3)-11 equation:


Simplifying
2(b + -7) = 5(b + 3) + -11

Reorder the terms:
2(-7 + b) = 5(b + 3) + -11
(-7 * 2 + b * 2) = 5(b + 3) + -11
(-14 + 2b) = 5(b + 3) + -11

Reorder the terms:
-14 + 2b = 5(3 + b) + -11
-14 + 2b = (3 * 5 + b * 5) + -11
-14 + 2b = (15 + 5b) + -11

Reorder the terms:
-14 + 2b = 15 + -11 + 5b

Combine like terms: 15 + -11 = 4
-14 + 2b = 4 + 5b

Solving
-14 + 2b = 4 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
-14 + 2b + -5b = 4 + 5b + -5b

Combine like terms: 2b + -5b = -3b
-14 + -3b = 4 + 5b + -5b

Combine like terms: 5b + -5b = 0
-14 + -3b = 4 + 0
-14 + -3b = 4

Add '14' to each side of the equation.
-14 + 14 + -3b = 4 + 14

Combine like terms: -14 + 14 = 0
0 + -3b = 4 + 14
-3b = 4 + 14

Combine like terms: 4 + 14 = 18
-3b = 18

Divide each side by '-3'.
b = -6

Simplifying
b = -6

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