2x+y-4(x+2y)=13-2(3y-x)+y

Simple and best practice solution for 2x+y-4(x+2y)=13-2(3y-x)+y 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 2x+y-4(x+2y)=13-2(3y-x)+y equation:


Simplifying
2x + y + -4(x + 2y) = 13 + -2(3y + -1x) + y
2x + y + (x * -4 + 2y * -4) = 13 + -2(3y + -1x) + y
2x + y + (-4x + -8y) = 13 + -2(3y + -1x) + y

Reorder the terms:
2x + -4x + y + -8y = 13 + -2(3y + -1x) + y

Combine like terms: 2x + -4x = -2x
-2x + y + -8y = 13 + -2(3y + -1x) + y

Combine like terms: y + -8y = -7y
-2x + -7y = 13 + -2(3y + -1x) + y

Reorder the terms:
-2x + -7y = 13 + -2(-1x + 3y) + y
-2x + -7y = 13 + (-1x * -2 + 3y * -2) + y
-2x + -7y = 13 + (2x + -6y) + y

Combine like terms: -6y + y = -5y
-2x + -7y = 13 + 2x + -5y

Solving
-2x + -7y = 13 + 2x + -5y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2x + -2x + -7y = 13 + 2x + -2x + -5y

Combine like terms: -2x + -2x = -4x
-4x + -7y = 13 + 2x + -2x + -5y

Combine like terms: 2x + -2x = 0
-4x + -7y = 13 + 0 + -5y
-4x + -7y = 13 + -5y

Add '7y' to each side of the equation.
-4x + -7y + 7y = 13 + -5y + 7y

Combine like terms: -7y + 7y = 0
-4x + 0 = 13 + -5y + 7y
-4x = 13 + -5y + 7y

Combine like terms: -5y + 7y = 2y
-4x = 13 + 2y

Divide each side by '-4'.
x = -3.25 + -0.5y

Simplifying
x = -3.25 + -0.5y

See similar equations:

| 3y+8=8y-8 | | f(x)=x^4+5x^2+6 | | 4=7x+8 | | 1+1k=1+1k | | 2(x+y)-4(x+y)=8(x+2)-8(y-2) | | 9y^2+37y+9= | | 8x+5=3x+38 | | 6=-6x+3y | | 6=-6+3x | | (9+8n)+(-4-3n)+(3+6n)= | | C-u=n+t | | 3n+4=32-4n | | 6=6x+3y | | -20+(20d)=100 | | 5-4+7x+1=6x+9 | | 1/3=4/g | | 7x+16=2(8x+1)-4 | | A=3b-cx | | 14x+1=78 | | 1y+2y+3y=42 | | 24x=-23 | | 9b-6=6b | | 4z+5=5z-1 | | 3y=2z+8solvez | | -30-4n=9n-9 | | 12=2x-17 | | 18w+30=20w+20 | | 5x+15x=13+8x | | 0.5x+0.666y-2.75=0.333y-4.5-0.375x | | 4j+12=24 | | 22-4n=9n-9 | | f(x)=x^4+9x^3+15x^2+9x+14 |

Equations solver categories