3x-(x-6)=5(x-3)

Simple and best practice solution for 3x-(x-6)=5(x-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 3x-(x-6)=5(x-3) equation:


Simplifying
3x + -1(x + -6) = 5(x + -3)

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

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

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

Reorder the terms:
6 + 2x = 5(-3 + x)
6 + 2x = (-3 * 5 + x * 5)
6 + 2x = (-15 + 5x)

Solving
6 + 2x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = -15 + 0
6 + -3x = -15

Add '-6' to each side of the equation.
6 + -6 + -3x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -15 + -6
-3x = -15 + -6

Combine like terms: -15 + -6 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

See similar equations:

| Log[2](7x+3)=3 | | (8x)+(1.5x(4))=150 | | -13(d+1)=-165 | | 10000+x=1.85x | | 4x-3y=f(5) | | 3(x-10)=15 | | 5000+x=1.36x | | 10000+5000+x=1.36x | | 1000+5000+x=1.6x | | (x-x*y)=z | | -(1-r)-1= | | 48+8n-20n+12=0 | | (x-x*0.12)=y | | x=y+y*0.12 | | -4n+4(2n-7)= | | 2b-18=5b+9 | | 27m-1/7=3/14 | | (x-(x*0.12))/x=40 | | (x-(x*.12)/x=40 | | -7(3a-2b-8)= | | (x-29.12-(x*0.12))/x=0.46 | | 25+25+x=1.5x | | 25+25+x=1.55x | | 46+25+x=1.5x | | 23+25+x=1.5x | | .25x+.125x+(.125x+348)=x | | .25x+.125x+(.125x+48)=x | | 28+25+x=1.5x | | 23+25+x=1.45x | | (x-25.56)/x=0.46 | | (x-25.56)/x=40.6 | | 28+25+x=1.55x |

Equations solver categories