3t-5(3t+2)=3(4-3t)+2

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


Simplifying
3t + -5(3t + 2) = 3(4 + -3t) + 2

Reorder the terms:
3t + -5(2 + 3t) = 3(4 + -3t) + 2
3t + (2 * -5 + 3t * -5) = 3(4 + -3t) + 2
3t + (-10 + -15t) = 3(4 + -3t) + 2

Reorder the terms:
-10 + 3t + -15t = 3(4 + -3t) + 2

Combine like terms: 3t + -15t = -12t
-10 + -12t = 3(4 + -3t) + 2
-10 + -12t = (4 * 3 + -3t * 3) + 2
-10 + -12t = (12 + -9t) + 2

Reorder the terms:
-10 + -12t = 12 + 2 + -9t

Combine like terms: 12 + 2 = 14
-10 + -12t = 14 + -9t

Solving
-10 + -12t = 14 + -9t

Solving for variable 't'.

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

Add '9t' to each side of the equation.
-10 + -12t + 9t = 14 + -9t + 9t

Combine like terms: -12t + 9t = -3t
-10 + -3t = 14 + -9t + 9t

Combine like terms: -9t + 9t = 0
-10 + -3t = 14 + 0
-10 + -3t = 14

Add '10' to each side of the equation.
-10 + 10 + -3t = 14 + 10

Combine like terms: -10 + 10 = 0
0 + -3t = 14 + 10
-3t = 14 + 10

Combine like terms: 14 + 10 = 24
-3t = 24

Divide each side by '-3'.
t = -8

Simplifying
t = -8

See similar equations:

| .5*a=-30 | | 8-(-3)-(4-9)= | | 6x+7=9x-42+2x | | 8+7=9 | | 15=4f+7 | | 0=60t | | a*2b*3c= | | 9y=60t | | 223=29-w | | 6x^7-42x^5= | | 6(7-n)=84 | | 6x-6=14-4x | | 10=60t | | 20=60t | | 40=60t | | 12x-3y= | | 60=60t | | 70=60y | | 80=60t | | -184+14x=56+4x | | 100=60t | | x-2x+6=11 | | (b+84)=3b | | x-2.9=9.9 | | 120=60t | | 130=60t | | 150=60t | | 5g*5g= | | 5a-9=3a+5 | | 160=60t | | 6x-1=34 | | -8q=634 |

Equations solver categories