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

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


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

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

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

Combine like terms: -12 + -3 = -15
-15 + 3b = 4(b + -7)

Reorder the terms:
-15 + 3b = 4(-7 + b)
-15 + 3b = (-7 * 4 + b * 4)
-15 + 3b = (-28 + 4b)

Solving
-15 + 3b = -28 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
-15 + 3b + -4b = -28 + 4b + -4b

Combine like terms: 3b + -4b = -1b
-15 + -1b = -28 + 4b + -4b

Combine like terms: 4b + -4b = 0
-15 + -1b = -28 + 0
-15 + -1b = -28

Add '15' to each side of the equation.
-15 + 15 + -1b = -28 + 15

Combine like terms: -15 + 15 = 0
0 + -1b = -28 + 15
-1b = -28 + 15

Combine like terms: -28 + 15 = -13
-1b = -13

Divide each side by '-1'.
b = 13

Simplifying
b = 13

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