5(b-5)+7=2(4-3b)+7

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Solution for 5(b-5)+7=2(4-3b)+7 equation:


Simplifying
5(b + -5) + 7 = 2(4 + -3b) + 7

Reorder the terms:
5(-5 + b) + 7 = 2(4 + -3b) + 7
(-5 * 5 + b * 5) + 7 = 2(4 + -3b) + 7
(-25 + 5b) + 7 = 2(4 + -3b) + 7

Reorder the terms:
-25 + 7 + 5b = 2(4 + -3b) + 7

Combine like terms: -25 + 7 = -18
-18 + 5b = 2(4 + -3b) + 7
-18 + 5b = (4 * 2 + -3b * 2) + 7
-18 + 5b = (8 + -6b) + 7

Reorder the terms:
-18 + 5b = 8 + 7 + -6b

Combine like terms: 8 + 7 = 15
-18 + 5b = 15 + -6b

Solving
-18 + 5b = 15 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
-18 + 5b + 6b = 15 + -6b + 6b

Combine like terms: 5b + 6b = 11b
-18 + 11b = 15 + -6b + 6b

Combine like terms: -6b + 6b = 0
-18 + 11b = 15 + 0
-18 + 11b = 15

Add '18' to each side of the equation.
-18 + 18 + 11b = 15 + 18

Combine like terms: -18 + 18 = 0
0 + 11b = 15 + 18
11b = 15 + 18

Combine like terms: 15 + 18 = 33
11b = 33

Divide each side by '11'.
b = 3

Simplifying
b = 3

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