3(p+7)-(4p-1)=-5(2p-3)+1

Simple and best practice solution for 3(p+7)-(4p-1)=-5(2p-3)+1 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 3(p+7)-(4p-1)=-5(2p-3)+1 equation: 


Simplifying
3(p + 7) + -1(4p + -1) = -5(2p + -3) + 1

Reorder the terms:
3(7 + p) + -1(4p + -1) = -5(2p + -3) + 1
(7 * 3 + p * 3) + -1(4p + -1) = -5(2p + -3) + 1
(21 + 3p) + -1(4p + -1) = -5(2p + -3) + 1

Reorder the terms:
21 + 3p + -1(-1 + 4p) = -5(2p + -3) + 1
21 + 3p + (-1 * -1 + 4p * -1) = -5(2p + -3) + 1
21 + 3p + (1 + -4p) = -5(2p + -3) + 1

Reorder the terms:
21 + 1 + 3p + -4p = -5(2p + -3) + 1

Combine like terms: 21 + 1 = 22
22 + 3p + -4p = -5(2p + -3) + 1

Combine like terms: 3p + -4p = -1p
22 + -1p = -5(2p + -3) + 1

Reorder the terms:
22 + -1p = -5(-3 + 2p) + 1
22 + -1p = (-3 * -5 + 2p * -5) + 1
22 + -1p = (15 + -10p) + 1

Reorder the terms:
22 + -1p = 15 + 1 + -10p

Combine like terms: 15 + 1 = 16
22 + -1p = 16 + -10p

Solving
22 + -1p = 16 + -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
22 + -1p + 10p = 16 + -10p + 10p

Combine like terms: -1p + 10p = 9p
22 + 9p = 16 + -10p + 10p

Combine like terms: -10p + 10p = 0
22 + 9p = 16 + 0
22 + 9p = 16

Add '-22' to each side of the equation.
22 + -22 + 9p = 16 + -22

Combine like terms: 22 + -22 = 0
0 + 9p = 16 + -22
9p = 16 + -22

Combine like terms: 16 + -22 = -6
9p = -6

Divide each side by '9'.
p = -0.6666666667

Simplifying
p = -0.6666666667

See similar equations:

| f-3=0.5f | | 4(k-3)=2-(2k-6) | | 4.3r+2=3r | | 2x-2=4x+6 | | 6g+2(-8+5g)=1-g | | 6p-8=2p | | 4(u+6)=2(3u-4) | | -4x=-7x+15 | | 2x-5=-3x+10 | | 65-5x=9x+23 | | -3(-x-7)=8x | | 4x+12=68-4x | | 1+6x=-5+3(7+x) | | 2x+6=16x-48 | | 2(x+4)+5=6-(x+2) | | 2(x+4)+5=6-1x+2 | | 2.1=27.7-8w | | 6x+7=5x+13 | | 34+p=6(p-1) | | 35(2)+2w=84 | | m-(2m-7)=3(m+1) | | 3x-8=7x+10 | | 10(l)=45 | | 3x(x+3)=15 | | 31+4x=7x+2(x+3) | | 0.5(-8p+1)=-4p+1 | | 4(2-6m)=6(2-4m) | | 6=9-x | | c-c=x | | 40+6x=15x-50 | | 2x+19=6(x+5) | | z=y+xy |

Equations solver categories