10(t-9)-9(5-6t)=2(4t-1)+5+10t

Simple and best practice solution for 10(t-9)-9(5-6t)=2(4t-1)+5+10t 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 10(t-9)-9(5-6t)=2(4t-1)+5+10t equation:


Simplifying
10(t + -9) + -9(5 + -6t) = 2(4t + -1) + 5 + 10t

Reorder the terms:
10(-9 + t) + -9(5 + -6t) = 2(4t + -1) + 5 + 10t
(-9 * 10 + t * 10) + -9(5 + -6t) = 2(4t + -1) + 5 + 10t
(-90 + 10t) + -9(5 + -6t) = 2(4t + -1) + 5 + 10t
-90 + 10t + (5 * -9 + -6t * -9) = 2(4t + -1) + 5 + 10t
-90 + 10t + (-45 + 54t) = 2(4t + -1) + 5 + 10t

Reorder the terms:
-90 + -45 + 10t + 54t = 2(4t + -1) + 5 + 10t

Combine like terms: -90 + -45 = -135
-135 + 10t + 54t = 2(4t + -1) + 5 + 10t

Combine like terms: 10t + 54t = 64t
-135 + 64t = 2(4t + -1) + 5 + 10t

Reorder the terms:
-135 + 64t = 2(-1 + 4t) + 5 + 10t
-135 + 64t = (-1 * 2 + 4t * 2) + 5 + 10t
-135 + 64t = (-2 + 8t) + 5 + 10t

Reorder the terms:
-135 + 64t = -2 + 5 + 8t + 10t

Combine like terms: -2 + 5 = 3
-135 + 64t = 3 + 8t + 10t

Combine like terms: 8t + 10t = 18t
-135 + 64t = 3 + 18t

Solving
-135 + 64t = 3 + 18t

Solving for variable 't'.

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

Add '-18t' to each side of the equation.
-135 + 64t + -18t = 3 + 18t + -18t

Combine like terms: 64t + -18t = 46t
-135 + 46t = 3 + 18t + -18t

Combine like terms: 18t + -18t = 0
-135 + 46t = 3 + 0
-135 + 46t = 3

Add '135' to each side of the equation.
-135 + 135 + 46t = 3 + 135

Combine like terms: -135 + 135 = 0
0 + 46t = 3 + 135
46t = 3 + 135

Combine like terms: 3 + 135 = 138
46t = 138

Divide each side by '46'.
t = 3

Simplifying
t = 3

See similar equations:

| -5x+10=15 | | 12.8x-19.3= | | 6-x=8+x | | -11x+15=-4x-20 | | -7+2x-19-9x=-61 | | 114-3x=15x+20 | | 5x+4=-3x+12 | | 11x+7=29 | | n+26.3=20.11 | | -6+11=-4x+1 | | -6x+11=-4+1 | | -x=3.57 | | 15=5z | | 3x+2=15x-34 | | -11r=-77 | | -8z=-40 | | -13-3=7-7x | | x^2+3x+30=-8x | | 6x-30x^2=0 | | x^2+10x+44=-3x+2 | | 18-3x+13-7x=31 | | 5(w-2)+3w=2(3w+4) | | q-61= | | x^2+10x+26=-3x-4 | | x^2-19x+44=-4x-6 | | 4y-4=4-16 | | x^2+6x+16=-x+6 | | 7y-2=2 | | (6-3x)=(1-x)+(3-x) | | -6s=24 | | x^2-61=3 | | 10y=20 |

Equations solver categories