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

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


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

Reorder the terms:
2(-9 + t) + 3(5 + -2t) = -5(t + -2) + -2
(-9 * 2 + t * 2) + 3(5 + -2t) = -5(t + -2) + -2
(-18 + 2t) + 3(5 + -2t) = -5(t + -2) + -2
-18 + 2t + (5 * 3 + -2t * 3) = -5(t + -2) + -2
-18 + 2t + (15 + -6t) = -5(t + -2) + -2

Reorder the terms:
-18 + 15 + 2t + -6t = -5(t + -2) + -2

Combine like terms: -18 + 15 = -3
-3 + 2t + -6t = -5(t + -2) + -2

Combine like terms: 2t + -6t = -4t
-3 + -4t = -5(t + -2) + -2

Reorder the terms:
-3 + -4t = -5(-2 + t) + -2
-3 + -4t = (-2 * -5 + t * -5) + -2
-3 + -4t = (10 + -5t) + -2

Reorder the terms:
-3 + -4t = 10 + -2 + -5t

Combine like terms: 10 + -2 = 8
-3 + -4t = 8 + -5t

Solving
-3 + -4t = 8 + -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.
-3 + -4t + 5t = 8 + -5t + 5t

Combine like terms: -4t + 5t = 1t
-3 + 1t = 8 + -5t + 5t

Combine like terms: -5t + 5t = 0
-3 + 1t = 8 + 0
-3 + 1t = 8

Add '3' to each side of the equation.
-3 + 3 + 1t = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 1t = 8 + 3
1t = 8 + 3

Combine like terms: 8 + 3 = 11
1t = 11

Divide each side by '1'.
t = 11

Simplifying
t = 11

See similar equations:

| -2.2+2y=-5.2+.5y | | 6(1-3n)-2(1n-1)=28 | | 2.5(4x-4)=-2+10x+12 | | 10+2n=-2 | | 2x(x-3)=-1 | | 4(3-5x)=4x | | x-(3x-4)=-6 | | 54v^3+2=0 | | 2x^2=2x+8 | | 52=-2(8+3v)-8(3v-1) | | (3x+8)= | | -64=6(-2-2n)+8(1n-8) | | 144=-60-12x | | 55=3(1+4b)+8(1+4b) | | 2x-5(4x+15)=51 | | 3x-2=12x-51 | | 60-2x=90 | | -3(3a-8)+2a=4(2a+1) | | r^3-27=0 | | 10=3(1-2x)+6(x+3)-11 | | -199=5x-6(-2x-6) | | 5(2x+3)=3(-4+3x)+x | | -6x-2(3x-11)=-74 | | 1+y=-7 | | 2x+33=6x+5 | | 3(x-5)=-15+3x | | 4+m=-12 | | (14+y)(6+y)=0 | | 3x+3(-2x-17)=-30 | | -6+y=-16 | | -24m-53=39-m | | 2z+9=4 |

Equations solver categories