(13b-4)-3(4b+3)=7

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Solution for (13b-4)-3(4b+3)=7 equation:


Simplifying
(13b + -4) + -3(4b + 3) = 7

Reorder the terms:
(-4 + 13b) + -3(4b + 3) = 7

Remove parenthesis around (-4 + 13b)
-4 + 13b + -3(4b + 3) = 7

Reorder the terms:
-4 + 13b + -3(3 + 4b) = 7
-4 + 13b + (3 * -3 + 4b * -3) = 7
-4 + 13b + (-9 + -12b) = 7

Reorder the terms:
-4 + -9 + 13b + -12b = 7

Combine like terms: -4 + -9 = -13
-13 + 13b + -12b = 7

Combine like terms: 13b + -12b = 1b
-13 + 1b = 7

Solving
-13 + 1b = 7

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = 7 + 13
1b = 7 + 13

Combine like terms: 7 + 13 = 20
1b = 20

Divide each side by '1'.
b = 20

Simplifying
b = 20

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