2x-3(x-1)=4(x-3)

Simple and best practice solution for 2x-3(x-1)=4(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 2x-3(x-1)=4(x-3) equation: 


Simplifying
2x + -3(x + -1) = 4(x + -3)

Reorder the terms:
2x + -3(-1 + x) = 4(x + -3)
2x + (-1 * -3 + x * -3) = 4(x + -3)
2x + (3 + -3x) = 4(x + -3)

Reorder the terms:
3 + 2x + -3x = 4(x + -3)

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

Reorder the terms:
3 + -1x = 4(-3 + x)
3 + -1x = (-3 * 4 + x * 4)
3 + -1x = (-12 + 4x)

Solving
3 + -1x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -1x + -4x = -12 + 4x + -4x

Combine like terms: -1x + -4x = -5x
3 + -5x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -5x = -12 + 0
3 + -5x = -12

Add '-3' to each side of the equation.
3 + -3 + -5x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -12 + -3
-5x = -12 + -3

Combine like terms: -12 + -3 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

See similar equations:

| (x-4)/8+(x+5)/6=7/21 | | f(x)=-x^2+3x-1 | | 4f-5=7h+f | | 4x^2+5x-7=0 | | X^2+3ax-1-3a=0 | | 1600=x-.025x | | 4(x+6)=-5(x+1)+3(4-x)+(12x+17) | | 5w+3=7 | | y+3/5=1/2 | | 2z+5/5=3z+1/2+7-z/2 | | 2=5+x | | 4=-4/5+v | | v-1/2=-5/8 | | 6y=17 | | x^4-2x^3-5x^2+6x=0 | | 6y=13 | | 52.4-0.6(y+9)=0.4y | | 2(b-7)+3=9 | | x^4+9x^3+27x^2+27x=0 | | 4(2x-5)-(x-2)= | | 32+6+x=176 | | 5x+8=5x(x+3) | | 15z-3z+19= | | 2/3(9y-15)+5=13 | | x/3-1.1=-8.6 | | -9z-(4+3z)=-(2z-1)+25 | | (3(x+2))/2=15 | | w/3=w/2-2 | | 23=-6*0+b | | -1=2x+7 | | 15x+25=10+3x-21 | | 4p+2=11+3 |

Equations solver categories