4(2x-3)-3(2-3x)=5(2-x)

Simple and best practice solution for 4(2x-3)-3(2-3x)=5(2-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 4(2x-3)-3(2-3x)=5(2-x) equation:


Simplifying
4(2x + -3) + -3(2 + -3x) = 5(2 + -1x)

Reorder the terms:
4(-3 + 2x) + -3(2 + -3x) = 5(2 + -1x)
(-3 * 4 + 2x * 4) + -3(2 + -3x) = 5(2 + -1x)
(-12 + 8x) + -3(2 + -3x) = 5(2 + -1x)
-12 + 8x + (2 * -3 + -3x * -3) = 5(2 + -1x)
-12 + 8x + (-6 + 9x) = 5(2 + -1x)

Reorder the terms:
-12 + -6 + 8x + 9x = 5(2 + -1x)

Combine like terms: -12 + -6 = -18
-18 + 8x + 9x = 5(2 + -1x)

Combine like terms: 8x + 9x = 17x
-18 + 17x = 5(2 + -1x)
-18 + 17x = (2 * 5 + -1x * 5)
-18 + 17x = (10 + -5x)

Solving
-18 + 17x = 10 + -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.
-18 + 17x + 5x = 10 + -5x + 5x

Combine like terms: 17x + 5x = 22x
-18 + 22x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-18 + 22x = 10 + 0
-18 + 22x = 10

Add '18' to each side of the equation.
-18 + 18 + 22x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 22x = 10 + 18
22x = 10 + 18

Combine like terms: 10 + 18 = 28
22x = 28

Divide each side by '22'.
x = 1.272727273

Simplifying
x = 1.272727273

See similar equations:

| y=272.14(10)x+-72.14 | | 4x-8-3x=14 | | a^2-3A=-9 | | 14x-4=5x-67 | | -19y=-15 | | (6x^3-4x+5)-(2x^3-x^2+7x-10)= | | 8a+7b-6a-6b= | | 5a/5b | | 10x-9=9x+6 | | -2x+3=-2x+-2-4 | | y=56.49x+328.42 | | 0=-x^3+3x^2-4 | | (8x^3+5x+6)-(2x^7+3x)= | | y=18.83(3)x+328.42 | | 14-8m=8m+62 | | 44x+5=5 | | $24=$16,625/18 | | (7x^8+8x^6-2x+9)-(4x^8+3x^7+3)= | | x-5/2=2/3 | | X-1/x-5-1/x=20/x(x-5) | | 3 = c3 | | 40+25x= | | bx=3x+15 | | (8x^8+8x^7+9)-(3x^7+3x+5)= | | 7k+1=5k+9 | | 2+5*3=y | | 12x^8-20X^7+20x^6=1 | | 17=75+x | | 1234567890-0987654321= | | (2x^7-6x+3)-(9x^8+4x)= | | 4x-6(3-7x)=2x+8 | | 85+3x+1=180 |

Equations solver categories