45(10b+10)-20=40(10b+30)

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Solution for 45(10b+10)-20=40(10b+30) equation:


Simplifying
45(10b + 10) + -20 = 40(10b + 30)

Reorder the terms:
45(10 + 10b) + -20 = 40(10b + 30)
(10 * 45 + 10b * 45) + -20 = 40(10b + 30)
(450 + 450b) + -20 = 40(10b + 30)

Reorder the terms:
450 + -20 + 450b = 40(10b + 30)

Combine like terms: 450 + -20 = 430
430 + 450b = 40(10b + 30)

Reorder the terms:
430 + 450b = 40(30 + 10b)
430 + 450b = (30 * 40 + 10b * 40)
430 + 450b = (1200 + 400b)

Solving
430 + 450b = 1200 + 400b

Solving for variable 'b'.

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

Add '-400b' to each side of the equation.
430 + 450b + -400b = 1200 + 400b + -400b

Combine like terms: 450b + -400b = 50b
430 + 50b = 1200 + 400b + -400b

Combine like terms: 400b + -400b = 0
430 + 50b = 1200 + 0
430 + 50b = 1200

Add '-430' to each side of the equation.
430 + -430 + 50b = 1200 + -430

Combine like terms: 430 + -430 = 0
0 + 50b = 1200 + -430
50b = 1200 + -430

Combine like terms: 1200 + -430 = 770
50b = 770

Divide each side by '50'.
b = 15.4

Simplifying
b = 15.4

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