(-1.5)x+3=2(2x-3)

Simple and best practice solution for (-1.5)x+3=2(2x-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 (-1.5)x+3=2(2x-3) equation:


Simplifying
(-1.5) * x + 3 = 2(2x + -3)

Reorder the terms:
3 + -1.5x = 2(2x + -3)

Reorder the terms:
3 + -1.5x = 2(-3 + 2x)
3 + -1.5x = (-3 * 2 + 2x * 2)
3 + -1.5x = (-6 + 4x)

Solving
3 + -1.5x = -6 + 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 + -1.5x + -4x = -6 + 4x + -4x

Combine like terms: -1.5x + -4x = -5.5x
3 + -5.5x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -5.5x = -6 + 0
3 + -5.5x = -6

Add '-3' to each side of the equation.
3 + -3 + -5.5x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -5.5x = -6 + -3
-5.5x = -6 + -3

Combine like terms: -6 + -3 = -9
-5.5x = -9

Divide each side by '-5.5'.
x = 1.636363636

Simplifying
x = 1.636363636

See similar equations:

| 6(4x-8)=2(12x+7) | | (x-3)(x+3)=27 | | 24x-3=14x | | x*2-20=29 | | 5x*2=35 | | -2g+14=0 | | 9*1p=27 | | 4.2a=21 | | 5+17z-4=9z+106-7z | | x^2-6x+9=20 | | 3x-6=x+8 | | 3x+48-4x=0 | | 2-y=14 | | 8s+10s=36 | | Q+(-7)=-10 | | 5(2x+5)=-3(3x+2)+x | | y=1.5(x-6) | | 3r+1=10 | | ln(3x+13)-ln(x)=ln(4) | | x-6x=15x | | 6t=-54 | | 6.5g=-2.4 | | ln(3x+13)-lnx=ln^4 | | 2.1q-1.6-3.7q=-2.6-2.2 | | (-7x-4)-9=-6(x+9) | | (3m-1)(8m+7)=0 | | ln(7x+15)-ln(x)=ln(8) | | (8p-2)(6p+2)=0 | | w=0 | | (-5b^2+3b-4)+(2b^2-3b+6)= | | 5x-(6y)=22 | | -4-y=1 |

Equations solver categories