4(x-2)=3(9-x)

Simple and best practice solution for 4(x-2)=3(9-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(x-2)=3(9-x) equation:


Simplifying
4(x + -2) = 3(9 + -1x)

Reorder the terms:
4(-2 + x) = 3(9 + -1x)
(-2 * 4 + x * 4) = 3(9 + -1x)
(-8 + 4x) = 3(9 + -1x)
-8 + 4x = (9 * 3 + -1x * 3)
-8 + 4x = (27 + -3x)

Solving
-8 + 4x = 27 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 4x + 3x = 27 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-8 + 7x = 27 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 7x = 27 + 0
-8 + 7x = 27

Add '8' to each side of the equation.
-8 + 8 + 7x = 27 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 27 + 8
7x = 27 + 8

Combine like terms: 27 + 8 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

See similar equations:

| 4y+13=-1(-3y-10) | | 16Y-4Y=84 | | -9x+1=82 | | 3(2x-5)=2(x+6)-5 | | 6x+78=10(x+5) | | 14x^2-4x=2x | | 2y+4=(y+2) | | 3x=43 | | 8x+7=7*5x | | 2(x+1)=3(2x-5) | | 2x+5-7=15 | | 28-3x=-58 | | y=x^4-14x^2+45 | | 6p=3r-4p+7r | | 9x-22=5x+33 | | 9x-22=5x | | (13b+7)(6b-18)=0 | | 9x=(3x)-36 | | 9t-2=t-3 | | 3[-x+(2x+1)]=-1 | | (12X+11)(12X-11)=144X-121 | | 7(6-5)=30x | | 18m-20+3m=3(7m+2) | | 5x-7=4x-3 | | 2+6x=30x-10 | | 0.75(z-6)=12 | | 3x+x+3x+x=360 | | 4x^2-11x+13=-2x+8 | | 6-2a=3 | | 2x^2-12x=12 | | 2x(4-6x)=30 | | -4x-7=9y |

Equations solver categories