2(3x+6)=5(6x-4)

Simple and best practice solution for 2(3x+6)=5(6x-4) 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 2(3x+6)=5(6x-4) equation:


Simplifying
2(3x + 6) = 5(6x + -4)

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

Reorder the terms:
12 + 6x = 5(-4 + 6x)
12 + 6x = (-4 * 5 + 6x * 5)
12 + 6x = (-20 + 30x)

Solving
12 + 6x = -20 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
12 + 6x + -30x = -20 + 30x + -30x

Combine like terms: 6x + -30x = -24x
12 + -24x = -20 + 30x + -30x

Combine like terms: 30x + -30x = 0
12 + -24x = -20 + 0
12 + -24x = -20

Add '-12' to each side of the equation.
12 + -12 + -24x = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -24x = -20 + -12
-24x = -20 + -12

Combine like terms: -20 + -12 = -32
-24x = -32

Divide each side by '-24'.
x = 1.333333333

Simplifying
x = 1.333333333

See similar equations:

| 11x+8-3=10x-3 | | -100=b+(-72) | | 64x=16 | | T=11x+2 | | 9x=0.33333333333 | | x^2+10x+6=0 | | -1n+1=11 | | -4x+7=21 | | 4(2x+1)+2(3x-3)=4 | | 42=2(2x+3)+2x | | 5k-7=-7 | | -8+8g=56 | | x=-7 | | 9x-4w+5x+8y+2y+2w= | | 2x-9=5x+12 | | -3t+6=0 | | 8x-2=5x-17 | | -3+6=0 | | 6x+2=4x+10 | | 6x-2=28 | | 2y=x-8 | | 21a+15= | | 5x+34=0 | | 4x+y=8 | | 5w+6-w=6w-2(w-3) | | m+20=3 | | 7x-4(8)=-18 | | 7x-32y=-18 | | 26=8-2x | | x^2-6x=4.25 | | 26=8-28x | | 180=2(4w)+2w |

Equations solver categories