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

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


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

Reorder the terms:
3(-7 + 3t) = 5(t + 3)
(-7 * 3 + 3t * 3) = 5(t + 3)
(-21 + 9t) = 5(t + 3)

Reorder the terms:
-21 + 9t = 5(3 + t)
-21 + 9t = (3 * 5 + t * 5)
-21 + 9t = (15 + 5t)

Solving
-21 + 9t = 15 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-21 + 9t + -5t = 15 + 5t + -5t

Combine like terms: 9t + -5t = 4t
-21 + 4t = 15 + 5t + -5t

Combine like terms: 5t + -5t = 0
-21 + 4t = 15 + 0
-21 + 4t = 15

Add '21' to each side of the equation.
-21 + 21 + 4t = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 4t = 15 + 21
4t = 15 + 21

Combine like terms: 15 + 21 = 36
4t = 36

Divide each side by '4'.
t = 9

Simplifying
t = 9

See similar equations:

| 8(7z+5)=5(11z+9) | | 2a+8=-(2a-4) | | 3(3x+2)=7(x+4) | | 2a+8=2a-4 | | 3a+9=-(4a-3) | | 12x+9=9x+29 | | 6(7y+1)=5(5y+8) | | 3a+9=4a-3 | | 4a-22=0 | | 4x-5x=30 | | 2x+3A-2B=0 | | 35-5x=4x+23 | | 4x+6=-38-7x | | 150-6x=6x+6 | | 3x+11=-109-9x | | -18-3x=6-7x | | x(x-1)-1(x+1)=2 | | 2x+8=64+-5x | | x(x+1)-1(x-1)=2 | | 6x+20=14x-60 | | 4x^2y+2x^2y-5x^2y= | | 5(a+15)= | | 15x^2y-7x^2y+3= | | 5a+15=80 | | 5a+15= | | 4x^2+2x-3x^2+4x= | | 8x^2-14x+10x^2= | | -4a^2b+7+10a^2b= | | -4a*2b+7+10a*2b= | | -0.7(-0.8)= | | 7x*2+2xy-7xy+4y*2= | | 4x*2+2x-3x*2+4x= |

Equations solver categories