5x-3(4x-8)=9(x-1)+22

Simple and best practice solution for 5x-3(4x-8)=9(x-1)+22 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 5x-3(4x-8)=9(x-1)+22 equation:


Simplifying
5x + -3(4x + -8) = 9(x + -1) + 22

Reorder the terms:
5x + -3(-8 + 4x) = 9(x + -1) + 22
5x + (-8 * -3 + 4x * -3) = 9(x + -1) + 22
5x + (24 + -12x) = 9(x + -1) + 22

Reorder the terms:
24 + 5x + -12x = 9(x + -1) + 22

Combine like terms: 5x + -12x = -7x
24 + -7x = 9(x + -1) + 22

Reorder the terms:
24 + -7x = 9(-1 + x) + 22
24 + -7x = (-1 * 9 + x * 9) + 22
24 + -7x = (-9 + 9x) + 22

Reorder the terms:
24 + -7x = -9 + 22 + 9x

Combine like terms: -9 + 22 = 13
24 + -7x = 13 + 9x

Solving
24 + -7x = 13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
24 + -7x + -9x = 13 + 9x + -9x

Combine like terms: -7x + -9x = -16x
24 + -16x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -16x = 13 + 0
24 + -16x = 13

Add '-24' to each side of the equation.
24 + -24 + -16x = 13 + -24

Combine like terms: 24 + -24 = 0
0 + -16x = 13 + -24
-16x = 13 + -24

Combine like terms: 13 + -24 = -11
-16x = -11

Divide each side by '-16'.
x = 0.6875

Simplifying
x = 0.6875

See similar equations:

| 81+x=174 | | 4x^3-16x^2-8x= | | k+18=7 | | -3x+-6x=-36 | | -2.3(4.2-1.8)= | | 396+x=413 | | (3)=13(3)-2 | | -12x+8+5x=30 | | -7/4x=35 | | -6x+13=1 | | 9v+6u=(v+16)+(u+45) | | 8z-12=3+5z | | p-10=-21 | | (4)=25-3(4) | | 4e^3x+11=13 | | -6/7u=36 | | -29=k-16 | | -11u=-22 | | d-13=5 | | -1/3y-5/2=-6/5 | | (35)=50-35 | | 24=-2w | | 4=12a | | (35)=50-35/50 | | 10x+2=14+12 | | 12-2x=-16 | | 472=8+32t | | -8-x=-27 | | Lnx(5x+3)-10x-6=0 | | n-18=-18 | | ft+4=-2 | | -1/2-1/7u=1/3 |

Equations solver categories