2(t-4)-3(2t-5)=9-5(6t+1)

Simple and best practice solution for 2(t-4)-3(2t-5)=9-5(6t+1) 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-4)-3(2t-5)=9-5(6t+1) equation:


Simplifying
2(t + -4) + -3(2t + -5) = 9 + -5(6t + 1)

Reorder the terms:
2(-4 + t) + -3(2t + -5) = 9 + -5(6t + 1)
(-4 * 2 + t * 2) + -3(2t + -5) = 9 + -5(6t + 1)
(-8 + 2t) + -3(2t + -5) = 9 + -5(6t + 1)

Reorder the terms:
-8 + 2t + -3(-5 + 2t) = 9 + -5(6t + 1)
-8 + 2t + (-5 * -3 + 2t * -3) = 9 + -5(6t + 1)
-8 + 2t + (15 + -6t) = 9 + -5(6t + 1)

Reorder the terms:
-8 + 15 + 2t + -6t = 9 + -5(6t + 1)

Combine like terms: -8 + 15 = 7
7 + 2t + -6t = 9 + -5(6t + 1)

Combine like terms: 2t + -6t = -4t
7 + -4t = 9 + -5(6t + 1)

Reorder the terms:
7 + -4t = 9 + -5(1 + 6t)
7 + -4t = 9 + (1 * -5 + 6t * -5)
7 + -4t = 9 + (-5 + -30t)

Combine like terms: 9 + -5 = 4
7 + -4t = 4 + -30t

Solving
7 + -4t = 4 + -30t

Solving for variable 't'.

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

Add '30t' to each side of the equation.
7 + -4t + 30t = 4 + -30t + 30t

Combine like terms: -4t + 30t = 26t
7 + 26t = 4 + -30t + 30t

Combine like terms: -30t + 30t = 0
7 + 26t = 4 + 0
7 + 26t = 4

Add '-7' to each side of the equation.
7 + -7 + 26t = 4 + -7

Combine like terms: 7 + -7 = 0
0 + 26t = 4 + -7
26t = 4 + -7

Combine like terms: 4 + -7 = -3
26t = -3

Divide each side by '26'.
t = -0.1153846154

Simplifying
t = -0.1153846154

See similar equations:

| 10x-4=28x+16 | | 220+.25=360 | | 2(t-4)-3(2t)=9-5(6t+1) | | 9(n+2)=90 | | 2(3z+2)=-8 | | 0.654=0.035x+0.125 | | -10x+2y=5 | | 2(4x-1)=8x+6 | | y=0.035(0.654)+0.125 | | 2.25a+5=13.5a+14 | | y=0.035(4.5)+0.125 | | 16+3x=25-x | | 8-6k=70 | | y=0.035x+0.125 | | 9y-8y+3=-7 | | 7(k-96)=21 | | 2(x-3.30)=5.80 | | 156+m=-2 | | 2.50+3x=50.00 | | 40-2n=4(1-5n) | | 2x+x(2x-3)+2x+(x-1)=76 | | 17=2x+18 | | 11(c-904)=814 | | p(x)=x^2+7x+8.25 | | 2.50x+3=50.00 | | 12+(5+-3x)=5-(4+3x) | | h(t)=-16t^2+15t+6 | | 0.112=sin(2x) | | -6-4(3k+4)=18 | | 45-9j=306 | | y=3x-7x^2 | | 13(k+39)=832 |

Equations solver categories