3[5(x-3)+2(x+9)]=5[2(x+3)+2(x-7)]

Simple and best practice solution for 3[5(x-3)+2(x+9)]=5[2(x+3)+2(x-7)] 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[5(x-3)+2(x+9)]=5[2(x+3)+2(x-7)] equation:


Simplifying
3[5(x + -3) + 2(x + 9)] = 5[2(x + 3) + 2(x + -7)]

Reorder the terms:
3[5(-3 + x) + 2(x + 9)] = 5[2(x + 3) + 2(x + -7)]
3[(-3 * 5 + x * 5) + 2(x + 9)] = 5[2(x + 3) + 2(x + -7)]
3[(-15 + 5x) + 2(x + 9)] = 5[2(x + 3) + 2(x + -7)]

Reorder the terms:
3[-15 + 5x + 2(9 + x)] = 5[2(x + 3) + 2(x + -7)]
3[-15 + 5x + (9 * 2 + x * 2)] = 5[2(x + 3) + 2(x + -7)]
3[-15 + 5x + (18 + 2x)] = 5[2(x + 3) + 2(x + -7)]

Reorder the terms:
3[-15 + 18 + 5x + 2x] = 5[2(x + 3) + 2(x + -7)]

Combine like terms: -15 + 18 = 3
3[3 + 5x + 2x] = 5[2(x + 3) + 2(x + -7)]

Combine like terms: 5x + 2x = 7x
3[3 + 7x] = 5[2(x + 3) + 2(x + -7)]
[3 * 3 + 7x * 3] = 5[2(x + 3) + 2(x + -7)]
[9 + 21x] = 5[2(x + 3) + 2(x + -7)]

Reorder the terms:
9 + 21x = 5[2(3 + x) + 2(x + -7)]
9 + 21x = 5[(3 * 2 + x * 2) + 2(x + -7)]
9 + 21x = 5[(6 + 2x) + 2(x + -7)]

Reorder the terms:
9 + 21x = 5[6 + 2x + 2(-7 + x)]
9 + 21x = 5[6 + 2x + (-7 * 2 + x * 2)]
9 + 21x = 5[6 + 2x + (-14 + 2x)]

Reorder the terms:
9 + 21x = 5[6 + -14 + 2x + 2x]

Combine like terms: 6 + -14 = -8
9 + 21x = 5[-8 + 2x + 2x]

Combine like terms: 2x + 2x = 4x
9 + 21x = 5[-8 + 4x]
9 + 21x = [-8 * 5 + 4x * 5]
9 + 21x = [-40 + 20x]

Solving
9 + 21x = -40 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
9 + 21x + -20x = -40 + 20x + -20x

Combine like terms: 21x + -20x = 1x
9 + 1x = -40 + 20x + -20x

Combine like terms: 20x + -20x = 0
9 + 1x = -40 + 0
9 + 1x = -40

Add '-9' to each side of the equation.
9 + -9 + 1x = -40 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = -40 + -9
1x = -40 + -9

Combine like terms: -40 + -9 = -49
1x = -49

Divide each side by '1'.
x = -49

Simplifying
x = -49

See similar equations:

| 7(7-(-5x-4))=175x+189 | | 15y=14y+126 | | 18-2(x-2)=8x-10+4x | | 6-2(3x+2)=-12 | | -4y^2-33y-35=0 | | -(3/4)m=-(9/16) | | -4y^2-33-35=0 | | =5*x+1 | | -4y^2-337-35=0 | | 5-(2x+3)=-11 | | 0.5(2x-1)=h | | L+1.5l+26=76 | | x+2-7x=2 | | 14y=13y+196 | | -14.82=r+11.28 | | -2(a+3)=-50 | | (x-2)-8=10 | | w-(2/9)=(5/9) | | 4m9+13-1m3=4 | | -5=(-a/36) | | 0.3x+5.5=0.2x+2.6 | | 4x+3=-6+2x+17 | | -32=p-91 | | 4(g-8)+2=15g-1 | | (-3.6b)-7.2=(-12.7)-6.1b | | -126.88=-10.4 | | 2m-11=m+5 | | 7x-7=4x-4 | | (2x+3)=9 | | X-12-12=5-2 | | 5600/x=7 | | 75=600/x |

Equations solver categories