2(t+3)+9(2t-1)=19(t-1)-5

Simple and best practice solution for 2(t+3)+9(2t-1)=19(t-1)-5 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 2(t+3)+9(2t-1)=19(t-1)-5 equation:


Simplifying
2(t + 3) + 9(2t + -1) = 19(t + -1) + -5

Reorder the terms:
2(3 + t) + 9(2t + -1) = 19(t + -1) + -5
(3 * 2 + t * 2) + 9(2t + -1) = 19(t + -1) + -5
(6 + 2t) + 9(2t + -1) = 19(t + -1) + -5

Reorder the terms:
6 + 2t + 9(-1 + 2t) = 19(t + -1) + -5
6 + 2t + (-1 * 9 + 2t * 9) = 19(t + -1) + -5
6 + 2t + (-9 + 18t) = 19(t + -1) + -5

Reorder the terms:
6 + -9 + 2t + 18t = 19(t + -1) + -5

Combine like terms: 6 + -9 = -3
-3 + 2t + 18t = 19(t + -1) + -5

Combine like terms: 2t + 18t = 20t
-3 + 20t = 19(t + -1) + -5

Reorder the terms:
-3 + 20t = 19(-1 + t) + -5
-3 + 20t = (-1 * 19 + t * 19) + -5
-3 + 20t = (-19 + 19t) + -5

Reorder the terms:
-3 + 20t = -19 + -5 + 19t

Combine like terms: -19 + -5 = -24
-3 + 20t = -24 + 19t

Solving
-3 + 20t = -24 + 19t

Solving for variable 't'.

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

Add '-19t' to each side of the equation.
-3 + 20t + -19t = -24 + 19t + -19t

Combine like terms: 20t + -19t = 1t
-3 + 1t = -24 + 19t + -19t

Combine like terms: 19t + -19t = 0
-3 + 1t = -24 + 0
-3 + 1t = -24

Add '3' to each side of the equation.
-3 + 3 + 1t = -24 + 3

Combine like terms: -3 + 3 = 0
0 + 1t = -24 + 3
1t = -24 + 3

Combine like terms: -24 + 3 = -21
1t = -21

Divide each side by '1'.
t = -21

Simplifying
t = -21

See similar equations:

| 4(3y+2)+5(2y+3)=111 | | -3=3x+7 | | (x-4)6=18 | | -3(3x+2)=2x+6 | | z^2-11z-12= | | 9x-4(3)=-30 | | 5+8n=13+6n | | 4x+12=-9x-53 | | 4(3y+2)+5(2y+3)=11 | | 10+17=3n | | 13x=-65 | | 2(-3)-5y=19 | | 5n+7=32 | | 5w+6y= | | 2(w+9)-(9+5w)=-4w | | (n-10)*3=12 | | ax-x=0 | | 6y+13=14y-11 | | (3z+5)/7=5 | | x+4/6=x-2/4 | | -3-2(x+5)=3(-x-1) | | 4y^2+2y-3=0 | | 141-6x=21x+21 | | 6p-6q= | | -7(n+1)=-8n | | 9(x-5)=-(x-2)+x-11 | | x+(1/3)=1/2 | | (1/3)x+4=(3/4)x-6 | | (x-1)*10.8=10.2x | | x-(1/2)=1/4 | | 3(2x-5)-(x+5)=4(x+2)-5 | | -(5z+15)+10z=30 |

Equations solver categories