5(3x-4)=4(2x+9)

Simple and best practice solution for 5(3x-4)=4(2x+9) 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 5(3x-4)=4(2x+9) equation:


Simplifying
5(3x + -4) = 4(2x + 9)

Reorder the terms:
5(-4 + 3x) = 4(2x + 9)
(-4 * 5 + 3x * 5) = 4(2x + 9)
(-20 + 15x) = 4(2x + 9)

Reorder the terms:
-20 + 15x = 4(9 + 2x)
-20 + 15x = (9 * 4 + 2x * 4)
-20 + 15x = (36 + 8x)

Solving
-20 + 15x = 36 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-20 + 15x + -8x = 36 + 8x + -8x

Combine like terms: 15x + -8x = 7x
-20 + 7x = 36 + 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + 7x = 36 + 0
-20 + 7x = 36

Add '20' to each side of the equation.
-20 + 20 + 7x = 36 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 36 + 20
7x = 36 + 20

Combine like terms: 36 + 20 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

See similar equations:

| -4.3g=25.8 | | 9x-26=5x+2 | | 11x+5=6x+35 | | 8x-18=54 | | =4x^3-18x | | 10n-4(8+3n)=33 | | 6(x-4)=2x+16 | | 5(x-4)=(8-x) | | 164-4x=6x+14 | | 3n-7(4+3n)=8 | | -5m=40 | | 16x^2+26x+3=0 | | -x^2+24x-180=0 | | 7-3d=-2 | | 11-9x=171-37x | | 5(1-k)=3 | | 8x-7=10x | | 5x+20=30 | | -18-9x=10x+20 | | -2x+15=1 | | 5x+9=14x-9 | | 6x^2-4x-99=0 | | 217-7x=29x+17 | | x=3x-21 | | -x^2+50x+625=0 | | x^2+50x+625=0 | | 14x+12=45 | | x+2=x-2 | | =4x^2+36x+72 | | 2x-2x+12=20 | | -5(x+1)=3x+33 | | -5(z+1)=3x+33 |

Equations solver categories