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

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


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

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

Combine like terms: 2 + 3 = 5
5 + -6x = 5(3 + -1x)
5 + -6x = (3 * 5 + -1x * 5)
5 + -6x = (15 + -5x)

Solving
5 + -6x = 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.
5 + -6x + 5x = 15 + -5x + 5x

Combine like terms: -6x + 5x = -1x
5 + -1x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
5 + -1x = 15 + 0
5 + -1x = 15

Add '-5' to each side of the equation.
5 + -5 + -1x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 15 + -5
-1x = 15 + -5

Combine like terms: 15 + -5 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

See similar equations:

| C(c+1)=(c+c+1)+19 | | 5d+7=3d+13 | | 5x+3-2(4-3x)=6x+2+4x | | 4x^2+4x+1=10 | | 6(a+1)=39 | | (1/3)(6x+24)-20=(1/4)(12x-72) | | 3n+27=84 | | 31.4=9c-1 | | 27*3x=84 | | 2e-2=3.4 | | 0.128-0.035v=-0.072+0.235 | | 2p=3.6 | | 5(a+1)=50 | | 53=6c-1 | | 7e-4=52 | | 5+x/x=1.25 | | 59=6x-1 | | 12-c=8 | | 1=1/4(8b+12) | | x^3=-2 | | x^4+2x=0 | | 9x-11(k+p)=x(a-1)forx | | r^3-16r^2-4r+64=0 | | 0.3x+1.38=0.24x+1.25 | | x=70-0.22x | | x^2-16=(x-2)(x+8) | | x^2-16=(x+2)(x-8) | | x^2-16=(x+8)(x-8) | | x^2-16=(x+4)(x-4) | | (x-2)(x+8)=x^2-16 | | 24s^2-26s-5=0 | | 12x=7x-15 |

Equations solver categories