2(x-3)-5(y-1)=3

Simple and best practice solution for 2(x-3)-5(y-1)=3 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)-5(y-1)=3 equation:


Simplifying
2(x + -3) + -5(y + -1) = 3

Reorder the terms:
2(-3 + x) + -5(y + -1) = 3
(-3 * 2 + x * 2) + -5(y + -1) = 3
(-6 + 2x) + -5(y + -1) = 3

Reorder the terms:
-6 + 2x + -5(-1 + y) = 3
-6 + 2x + (-1 * -5 + y * -5) = 3
-6 + 2x + (5 + -5y) = 3

Reorder the terms:
-6 + 5 + 2x + -5y = 3

Combine like terms: -6 + 5 = -1
-1 + 2x + -5y = 3

Solving
-1 + 2x + -5y = 3

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 2x + 1 + -5y = 3 + 1

Reorder the terms:
-1 + 1 + 2x + -5y = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 2x + -5y = 3 + 1
2x + -5y = 3 + 1

Combine like terms: 3 + 1 = 4
2x + -5y = 4

Add '5y' to each side of the equation.
2x + -5y + 5y = 4 + 5y

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

Divide each side by '2'.
x = 2 + 2.5y

Simplifying
x = 2 + 2.5y

See similar equations:

| 5(7-2k)= | | 2.4(x-5)=7.2 | | 14-4(x-5)=6-2 | | 8(2m-5)= | | 6-5+x=30 | | 7.2-c=2 | | 16x+8y=72 | | 6m+3(4m+18)=-103 | | (x+3)(2x+10)= | | 4(4x+2)=19x+3-3x+5 | | 3x^2+15+12=0 | | 6x^2+7x-18=0 | | (2x-9)(2x+9)= | | 10r^2+400r=0 | | 1+2(x-8)=3-9(X-9) | | (x-3)(x+4)=x*2+4 | | 4x-3(7-2x)=29 | | (11)/(3x)-(1)/(3)=(-4)/(x^2) | | 9x+7y=187 | | 7x^2-45x= | | Y+2.3=7.8 | | 1.3g+1.9=-11.1 | | X^2-75-10=0 | | B^2+5b-42=0 | | 8/11(n-11)=64 | | 3x^2+16x+9=-16x-12 | | a=4+3a | | 5a+7b-2a+10b+15= | | 3m=40-5m | | 40+15+0.25t=45+0.35t | | -7x+21y=6 | | 4(x-8)+6x=36 |

Equations solver categories