Simplify each side
Add the like terms in each side if need
Separate the unknown in one side and the numerical term in the other side to find the value of the unknown

∵ 5(B + 3) = 4(B - 7) + 2B

- Multiply the bracket (B + 3) by 5 in the left hand side and multiply

the bracket (B - 7) by 4 in the right hand side

∵ 5(B + 3 ) = 5(B) + 5(3) = 5B + 15

∵ 4(B - 7) = 4(B) - 4(7) = 4B - 28

∴ 5B + 15 = 4B - 28 + 2B

- Add the like terms in the right hand side

∵ 4B + 2B = 6B

∴ 5B + 15 = 6B - 28

- Add 28 to both sides

∴ 5B + 43 = 6B

- Subtract 5B from both sides

∴ 43 = B

- Switch the two sides

∴ B = 43

To check the answer substitute the value of B in each side if the two sides are equal then the solution is right

The left hand side

∵ 5(43 + 3) = 5(46) = 230

The right hand side

∵ 4(43 - 7) + 2(43) = 4(36) + 86 = 144 + 86 = 230

∴ L.H.S = R.H.S

∴ The solution B = 43 is right

The solution is B = 43

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