3(x+5)+6(2x+4)=9(4x+2)+5(2x-5)

Simple and best practice solution for 3(x+5)+6(2x+4)=9(4x+2)+5(2x-5) 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 3(x+5)+6(2x+4)=9(4x+2)+5(2x-5) equation:


Simplifying
3(x + 5) + 6(2x + 4) = 9(4x + 2) + 5(2x + -5)

Reorder the terms:
3(5 + x) + 6(2x + 4) = 9(4x + 2) + 5(2x + -5)
(5 * 3 + x * 3) + 6(2x + 4) = 9(4x + 2) + 5(2x + -5)
(15 + 3x) + 6(2x + 4) = 9(4x + 2) + 5(2x + -5)

Reorder the terms:
15 + 3x + 6(4 + 2x) = 9(4x + 2) + 5(2x + -5)
15 + 3x + (4 * 6 + 2x * 6) = 9(4x + 2) + 5(2x + -5)
15 + 3x + (24 + 12x) = 9(4x + 2) + 5(2x + -5)

Reorder the terms:
15 + 24 + 3x + 12x = 9(4x + 2) + 5(2x + -5)

Combine like terms: 15 + 24 = 39
39 + 3x + 12x = 9(4x + 2) + 5(2x + -5)

Combine like terms: 3x + 12x = 15x
39 + 15x = 9(4x + 2) + 5(2x + -5)

Reorder the terms:
39 + 15x = 9(2 + 4x) + 5(2x + -5)
39 + 15x = (2 * 9 + 4x * 9) + 5(2x + -5)
39 + 15x = (18 + 36x) + 5(2x + -5)

Reorder the terms:
39 + 15x = 18 + 36x + 5(-5 + 2x)
39 + 15x = 18 + 36x + (-5 * 5 + 2x * 5)
39 + 15x = 18 + 36x + (-25 + 10x)

Reorder the terms:
39 + 15x = 18 + -25 + 36x + 10x

Combine like terms: 18 + -25 = -7
39 + 15x = -7 + 36x + 10x

Combine like terms: 36x + 10x = 46x
39 + 15x = -7 + 46x

Solving
39 + 15x = -7 + 46x

Solving for variable 'x'.

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

Add '-46x' to each side of the equation.
39 + 15x + -46x = -7 + 46x + -46x

Combine like terms: 15x + -46x = -31x
39 + -31x = -7 + 46x + -46x

Combine like terms: 46x + -46x = 0
39 + -31x = -7 + 0
39 + -31x = -7

Add '-39' to each side of the equation.
39 + -39 + -31x = -7 + -39

Combine like terms: 39 + -39 = 0
0 + -31x = -7 + -39
-31x = -7 + -39

Combine like terms: -7 + -39 = -46
-31x = -46

Divide each side by '-31'.
x = 1.483870968

Simplifying
x = 1.483870968

See similar equations:

| 1+3/5(x-4)=2/5(x+1) | | 5x+5x+3+7=5x+4+4x | | 4ln(x-2)-2=6 | | a*8=9a-2*1 | | 2x/5-x/2=40 | | 15-1.6n=1.6n-1 | | 3z-(17+2z)=13 | | 5x+25-3x=-45 | | 6+w=2 | | x^2+3xy-18y^2= | | 1.285714286*21-15= | | 7x+55=2x+125 | | (x+4)(x-12)= | | 7n+2=4n-10 | | a^2+17a+66=0 | | (29b-7)-7(4b+1)=-5 | | 4x+143+6x+147=180 | | 840-18=520+6 | | 7h-5=4 | | (x-4)(x-12)= | | -3i(-1+9i)= | | 9x+-2+20x+5=40 | | 7*s+18=s-14*21 | | 12+2n=3-n | | x-x(.05)=64 | | 3x+125=8x+45 | | =x^2+x-12 | | (w+3)w=270 | | 6x+6x+(8x-10)+(8x-10)= | | 5x+3=-78 | | 7*5+18=s-14*21 | | (w-3)w=270 |

Equations solver categories