3(2X+3)-2(X-3)=7(X-4)-20

Simple and best practice solution for 3(2X+3)-2(X-3)=7(X-4)-20 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(2X+3)-2(X-3)=7(X-4)-20 equation:


Simplifying
3(2X + 3) + -2(X + -3) = 7(X + -4) + -20

Reorder the terms:
3(3 + 2X) + -2(X + -3) = 7(X + -4) + -20
(3 * 3 + 2X * 3) + -2(X + -3) = 7(X + -4) + -20
(9 + 6X) + -2(X + -3) = 7(X + -4) + -20

Reorder the terms:
9 + 6X + -2(-3 + X) = 7(X + -4) + -20
9 + 6X + (-3 * -2 + X * -2) = 7(X + -4) + -20
9 + 6X + (6 + -2X) = 7(X + -4) + -20

Reorder the terms:
9 + 6 + 6X + -2X = 7(X + -4) + -20

Combine like terms: 9 + 6 = 15
15 + 6X + -2X = 7(X + -4) + -20

Combine like terms: 6X + -2X = 4X
15 + 4X = 7(X + -4) + -20

Reorder the terms:
15 + 4X = 7(-4 + X) + -20
15 + 4X = (-4 * 7 + X * 7) + -20
15 + 4X = (-28 + 7X) + -20

Reorder the terms:
15 + 4X = -28 + -20 + 7X

Combine like terms: -28 + -20 = -48
15 + 4X = -48 + 7X

Solving
15 + 4X = -48 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
15 + 4X + -7X = -48 + 7X + -7X

Combine like terms: 4X + -7X = -3X
15 + -3X = -48 + 7X + -7X

Combine like terms: 7X + -7X = 0
15 + -3X = -48 + 0
15 + -3X = -48

Add '-15' to each side of the equation.
15 + -15 + -3X = -48 + -15

Combine like terms: 15 + -15 = 0
0 + -3X = -48 + -15
-3X = -48 + -15

Combine like terms: -48 + -15 = -63
-3X = -63

Divide each side by '-3'.
X = 21

Simplifying
X = 21

See similar equations:

| 5a^2+15=-28a | | 11s-99=11 | | -6y-30=6 | | 3x+156=6x+114 | | 3y+2=x | | 189/3*x-60=633 | | [-3+x][8-x]=0 | | .50(x-2)=5 | | 5x+24=3x+62 | | 2x^2+88x=-976 | | 10x+92+2x=6+x | | d/r-t/r=1 | | 4r+5r=18 | | 5-8(x+7)=12x-9+x | | 3x-17=8x+9 | | 14+29x=-131 | | x/3*11-60=180 | | 5-8x+56=13x-9 | | G/2=5.5 | | abc+123=6799 | | 30x-2x=28 | | y=6xln(3x)-6x | | 17v=-5 | | x/3-25=85 | | 3s=3t-15 | | 8x-5x=-36 | | 20*6+x=153 | | n-0.08n= | | 3x-7+5x=-41 | | -(x-1)=2(x+7) | | 3s=2t+10 | | 5x^2-7=-5x |

Equations solver categories