-7(1+2b)-6(3-5b)=5(4+3b)-45

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Solution for -7(1+2b)-6(3-5b)=5(4+3b)-45 equation:


Simplifying
-7(1 + 2b) + -6(3 + -5b) = 5(4 + 3b) + -45
(1 * -7 + 2b * -7) + -6(3 + -5b) = 5(4 + 3b) + -45
(-7 + -14b) + -6(3 + -5b) = 5(4 + 3b) + -45
-7 + -14b + (3 * -6 + -5b * -6) = 5(4 + 3b) + -45
-7 + -14b + (-18 + 30b) = 5(4 + 3b) + -45

Reorder the terms:
-7 + -18 + -14b + 30b = 5(4 + 3b) + -45

Combine like terms: -7 + -18 = -25
-25 + -14b + 30b = 5(4 + 3b) + -45

Combine like terms: -14b + 30b = 16b
-25 + 16b = 5(4 + 3b) + -45
-25 + 16b = (4 * 5 + 3b * 5) + -45
-25 + 16b = (20 + 15b) + -45

Reorder the terms:
-25 + 16b = 20 + -45 + 15b

Combine like terms: 20 + -45 = -25
-25 + 16b = -25 + 15b

Add '25' to each side of the equation.
-25 + 25 + 16b = -25 + 25 + 15b

Combine like terms: -25 + 25 = 0
0 + 16b = -25 + 25 + 15b
16b = -25 + 25 + 15b

Combine like terms: -25 + 25 = 0
16b = 0 + 15b
16b = 15b

Solving
16b = 15b

Solving for variable 'b'.

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

Add '-15b' to each side of the equation.
16b + -15b = 15b + -15b

Combine like terms: 16b + -15b = 1b
1b = 15b + -15b

Combine like terms: 15b + -15b = 0
1b = 0

Divide each side by '1'.
b = 0

Simplifying
b = 0

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