5-3(b+2)=(2b+7)-(b-12)

Simple and best practice solution for 5-3(b+2)=(2b+7)-(b-12) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 5-3(b+2)=(2b+7)-(b-12) equation:


Simplifying
5 + -3(b + 2) = (2b + 7) + -1(b + -12)

Reorder the terms:
5 + -3(2 + b) = (2b + 7) + -1(b + -12)
5 + (2 * -3 + b * -3) = (2b + 7) + -1(b + -12)
5 + (-6 + -3b) = (2b + 7) + -1(b + -12)

Combine like terms: 5 + -6 = -1
-1 + -3b = (2b + 7) + -1(b + -12)

Reorder the terms:
-1 + -3b = (7 + 2b) + -1(b + -12)

Remove parenthesis around (7 + 2b)
-1 + -3b = 7 + 2b + -1(b + -12)

Reorder the terms:
-1 + -3b = 7 + 2b + -1(-12 + b)
-1 + -3b = 7 + 2b + (-12 * -1 + b * -1)
-1 + -3b = 7 + 2b + (12 + -1b)

Reorder the terms:
-1 + -3b = 7 + 12 + 2b + -1b

Combine like terms: 7 + 12 = 19
-1 + -3b = 19 + 2b + -1b

Combine like terms: 2b + -1b = 1b
-1 + -3b = 19 + 1b

Solving
-1 + -3b = 19 + 1b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
-1 + -3b + -1b = 19 + 1b + -1b

Combine like terms: -3b + -1b = -4b
-1 + -4b = 19 + 1b + -1b

Combine like terms: 1b + -1b = 0
-1 + -4b = 19 + 0
-1 + -4b = 19

Add '1' to each side of the equation.
-1 + 1 + -4b = 19 + 1

Combine like terms: -1 + 1 = 0
0 + -4b = 19 + 1
-4b = 19 + 1

Combine like terms: 19 + 1 = 20
-4b = 20

Divide each side by '-4'.
b = -5

Simplifying
b = -5

See similar equations:

| -7x-1=-71 | | -13-7x=10x+21 | | 62-3x=15x+24 | | 25d^2-10d+1=0 | | 198-6x=6x+18 | | 4-5x=-31 | | 122-7x=29x+18 | | -5-7x=7x+23 | | 2x^2-12x-14=0 | | (5x+7)=38 | | 52-6x=3x+18 | | 5-8x=137-36x | | 16n^2+16n+4=0 | | 59-2x=2x+7 | | 3X^2-7X=5 | | 3(3y+2)=3y+18 | | -91-10x=8x+17 | | 11-8x=23-15x | | 5x^2-2x=3 | | 4n=120 | | -19-5x=11-8x | | 126-5x=13x+22 | | x^3-4X^2+2x=35 | | 14x-3= | | 11-9x=35-30x | | 4x^2-31x+24=-8x+9 | | 5x+10=-42-8x | | 5x-1=17+x | | 5d-22d+8=0 | | 3x+11=-29-7x | | -1h=440 | | 8u+30=2u |

Equations solver categories