5(p+3)=3(p-2)+6

Simple and best practice solution for 5(p+3)=3(p-2)+6 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(p+3)=3(p-2)+6 equation:


Simplifying
5(p + 3) = 3(p + -2) + 6

Reorder the terms:
5(3 + p) = 3(p + -2) + 6
(3 * 5 + p * 5) = 3(p + -2) + 6
(15 + 5p) = 3(p + -2) + 6

Reorder the terms:
15 + 5p = 3(-2 + p) + 6
15 + 5p = (-2 * 3 + p * 3) + 6
15 + 5p = (-6 + 3p) + 6

Reorder the terms:
15 + 5p = -6 + 6 + 3p

Combine like terms: -6 + 6 = 0
15 + 5p = 0 + 3p
15 + 5p = 3p

Solving
15 + 5p = 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
15 + 5p + -3p = 3p + -3p

Combine like terms: 5p + -3p = 2p
15 + 2p = 3p + -3p

Combine like terms: 3p + -3p = 0
15 + 2p = 0

Add '-15' to each side of the equation.
15 + -15 + 2p = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2p = 0 + -15
2p = 0 + -15

Combine like terms: 0 + -15 = -15
2p = -15

Divide each side by '2'.
p = -7.5

Simplifying
p = -7.5

See similar equations:

| 13=8+2/3t | | (50)+(-34)= | | 4.9q-1.7-5.5q=1.6q-3.6 | | 15+.5x=3x-10 | | 2k^2-3k-33=2 | | 9-3/5x=4 | | 20=8w*w | | -6y+4=-7y+2 | | 4(2x-1)+2x=3(2x-2) | | 6a-9=-2 | | 5+5=11 | | 12-4t=5 | | x^2+y^2-10x+2y+22=0 | | (x+5).2=26 | | -4(-6n+9)=12(6n-11) | | 4a-14=13 | | 2(x+4m+5)= | | z+24-5z-1=4z+19-2z+16 | | 3n(10n-2)=0 | | -12/24 | | 43-5x=7(5-x) | | 3(2x+8)=-7/3-(x+5) | | 1.7q-4.5-5.6q=-4.9q-2.5 | | 12-5b=24 | | 89=6x+7x+2 | | -1+7x=3x+47 | | 3y=1-4y | | 8/d=1/d+2-3/d | | m-13=-40 | | 3/(s-13)=s/10 | | 12x^2-6x-4=0 | | 6t-54= |

Equations solver categories