j-2(i-2j)=3(j-3)+5

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


Simplifying
j + -2(i + -2j) = 3(j + -3) + 5
j + (i * -2 + -2j * -2) = 3(j + -3) + 5
j + (-2i + 4j) = 3(j + -3) + 5

Reorder the terms:
-2i + j + 4j = 3(j + -3) + 5

Combine like terms: j + 4j = 5j
-2i + 5j = 3(j + -3) + 5

Reorder the terms:
-2i + 5j = 3(-3 + j) + 5
-2i + 5j = (-3 * 3 + j * 3) + 5
-2i + 5j = (-9 + 3j) + 5

Reorder the terms:
-2i + 5j = -9 + 5 + 3j

Combine like terms: -9 + 5 = -4
-2i + 5j = -4 + 3j

Solving
-2i + 5j = -4 + 3j

Solving for variable 'i'.

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

Add '-5j' to each side of the equation.
-2i + 5j + -5j = -4 + 3j + -5j

Combine like terms: 5j + -5j = 0
-2i + 0 = -4 + 3j + -5j
-2i = -4 + 3j + -5j

Combine like terms: 3j + -5j = -2j
-2i = -4 + -2j

Divide each side by '-2'.
i = 2 + j

Simplifying
i = 2 + j

See similar equations:

| 7(0)-11= | | -5-3n-7n=n+6 | | 4x^2+16x-12=0 | | 3x^2+7=19 | | 4p-6+8p=-10+6p+8+2 | | 7(1)-11= | | 7(-1)-11= | | -5x+8=-6x+6 | | 6=9+i | | 43a+10-a-26a=27 | | 6x+3=6x+54 | | x=5(1) | | 7(-2)-11= | | 3+x=-2 | | x+13=(x-8) | | -7r+r=-7+4-8r-5 | | 7x-2=5x+11 | | 3(5+2*n)=15 | | x=5(0) | | 10x-24=90 | | y-2(y+10)=12 | | 2a-6a= | | 3(2xn+5)=15 | | 8x-40=6x-14 | | 7x-2x=5x+11 | | -(7-4x)=9+2x-3x | | 2a+15=3 | | -1+v+2+8=6v+4 | | 3(2*n+5)=15 | | 80-6x=30x+20 | | 0=-x+4 | | (-5/8)*(-6/11)= |

Equations solver categories