5(t-6)+7t=7(3t+3)-12

Simple and best practice solution for 5(t-6)+7t=7(3t+3)-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(t-6)+7t=7(3t+3)-12 equation: 


Simplifying
5(t + -6) + 7t = 7(3t + 3) + -12

Reorder the terms:
5(-6 + t) + 7t = 7(3t + 3) + -12
(-6 * 5 + t * 5) + 7t = 7(3t + 3) + -12
(-30 + 5t) + 7t = 7(3t + 3) + -12

Combine like terms: 5t + 7t = 12t
-30 + 12t = 7(3t + 3) + -12

Reorder the terms:
-30 + 12t = 7(3 + 3t) + -12
-30 + 12t = (3 * 7 + 3t * 7) + -12
-30 + 12t = (21 + 21t) + -12

Reorder the terms:
-30 + 12t = 21 + -12 + 21t

Combine like terms: 21 + -12 = 9
-30 + 12t = 9 + 21t

Solving
-30 + 12t = 9 + 21t

Solving for variable 't'.

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

Add '-21t' to each side of the equation.
-30 + 12t + -21t = 9 + 21t + -21t

Combine like terms: 12t + -21t = -9t
-30 + -9t = 9 + 21t + -21t

Combine like terms: 21t + -21t = 0
-30 + -9t = 9 + 0
-30 + -9t = 9

Add '30' to each side of the equation.
-30 + 30 + -9t = 9 + 30

Combine like terms: -30 + 30 = 0
0 + -9t = 9 + 30
-9t = 9 + 30

Combine like terms: 9 + 30 = 39
-9t = 39

Divide each side by '-9'.
t = -4.333333333

Simplifying
t = -4.333333333

See similar equations:

| 161/2= | | 2/161= | | -6p=32 | | 9b^2-44b=-3b-5+b^2 | | 3(x-6)=117/13 | | 8x-(5x+8)=7x-40 | | 10b^2-41b+5=0 | | 2x+2Y=z | | (7x-13)=(4x+9) | | 5p=12 | | X+Y=86 | | 8X+Y=-2 | | 2-4x=14+2x | | -13n+17=-12n-13 | | 9y-11y=-8-12 | | r/12+21+15=24 | | 18(t-3)+3t=7(3t+3)-12 | | -26-(-19)=x/11 | | a/14+10-30=12 | | .40x=6 | | 4x+20=2x-50 | | a/5+7-2=18 | | -3x+5=5-3x | | a/5+7+6=20 | | 3x=x+100 | | 9K-4K=10 | | 7(x+4)(x+3)=0 | | 144p+309.60=50.40 | | 7b+11=95 | | 10a-7=63 | | 9r-14=67 | | x-27=22 |

Equations solver categories