2(x-3)=6y-3(x-2)

Simple and best practice solution for 2(x-3)=6y-3(x-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(x-3)=6y-3(x-2) equation:


Simplifying
2(x + -3) = 6y + -3(x + -2)

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

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

Reorder the terms:
-6 + 2x = 6 + -3x + 6y

Solving
-6 + 2x = 6 + -3x + 6y

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + 2x + 3x = 6 + -3x + 3x + 6y

Combine like terms: 2x + 3x = 5x
-6 + 5x = 6 + -3x + 3x + 6y

Combine like terms: -3x + 3x = 0
-6 + 5x = 6 + 0 + 6y
-6 + 5x = 6 + 6y

Add '6' to each side of the equation.
-6 + 6 + 5x = 6 + 6 + 6y

Combine like terms: -6 + 6 = 0
0 + 5x = 6 + 6 + 6y
5x = 6 + 6 + 6y

Combine like terms: 6 + 6 = 12
5x = 12 + 6y

Divide each side by '5'.
x = 2.4 + 1.2y

Simplifying
x = 2.4 + 1.2y

See similar equations:

| (b^12)/(-42)*(p^-5)*(b^12) | | 9x^2-12x-23=0 | | 64.8/1.2 | | -2.9a+6.8= | | Cos(3.14/6x) | | a^4+2a^2+9=0 | | 2x(7-3)=11 | | 18x+27=25x^2+36 | | 25x^2-18x+9=0 | | 3x-3y=x+7 | | X+8y=18 | | 6x+7=1x | | 6t=312 | | N-52=45 | | 4/3•3.14•2•2•2 | | (2x-5)-7=4(x-9) | | g+1.4=8.3 | | v^2+3v=4 | | 3x+6(5x-2)=-12 | | 2x-3=x^2-5 | | 2(1.5+4)=11 | | 2x^2-4x=34 | | h/5=7 | | (6*10000000)-x=(8*10000000) | | S=T+C+M | | (-4.8y+20.1)= | | y+(-3)=13 | | 3.2=k-1.09 | | .3x+150=x | | 2x+(2x-8)=104 | | 2x-5=x^2-6 | | y=cos(c^3+x^3) |

Equations solver categories