3(2b-1)+25=4(3b+1)

Solution for 3(2b-1)+25=4(3b+1) equation:

Simplifying
3(2b + -1) + 25 = 4(3b + 1)

Reorder the terms:
3(-1 + 2b) + 25 = 4(3b + 1)
(-1 * 3 + 2b * 3) + 25 = 4(3b + 1)
(-3 + 6b) + 25 = 4(3b + 1)

Reorder the terms:
-3 + 25 + 6b = 4(3b + 1)

Combine like terms: -3 + 25 = 22
22 + 6b = 4(3b + 1)

Reorder the terms:
22 + 6b = 4(1 + 3b)
22 + 6b = (1 * 4 + 3b * 4)
22 + 6b = (4 + 12b)

Solving
22 + 6b = 4 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
22 + 6b + -12b = 4 + 12b + -12b

Combine like terms: 6b + -12b = -6b
22 + -6b = 4 + 12b + -12b

Combine like terms: 12b + -12b = 0
22 + -6b = 4 + 0
22 + -6b = 4

Add '-22' to each side of the equation.
22 + -22 + -6b = 4 + -22

Combine like terms: 22 + -22 = 0
0 + -6b = 4 + -22
-6b = 4 + -22

Combine like terms: 4 + -22 = -18
-6b = -18

Divide each side by '-6'.
b = 3

Simplifying
b = 3