3(x-2)+9=7(x-3)

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


Simplifying
3(x + -2) + 9 = 7(x + -3)

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

Reorder the terms:
-6 + 9 + 3x = 7(x + -3)

Combine like terms: -6 + 9 = 3
3 + 3x = 7(x + -3)

Reorder the terms:
3 + 3x = 7(-3 + x)
3 + 3x = (-3 * 7 + x * 7)
3 + 3x = (-21 + 7x)

Solving
3 + 3x = -21 + 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.
3 + 3x + -7x = -21 + 7x + -7x

Combine like terms: 3x + -7x = -4x
3 + -4x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -4x = -21 + 0
3 + -4x = -21

Add '-3' to each side of the equation.
3 + -3 + -4x = -21 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -21 + -3
-4x = -21 + -3

Combine like terms: -21 + -3 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

See similar equations:

| .5-y=4x | | -1+3x=-4x+24x | | 2q+2+9= | | 8c+5.9=372.5 | | 16x^2-8x-35=0 | | -10+2n=12 | | x(x+50)=2400 | | 5x^2+12x=6 | | 3(3)+5=5 | | 2/3a-7=1/2a-6 | | 0.9(8x+5)=1.6-(x-3) | | -8.3c+6.9=330.6 | | 9.2=711 | | 2x+6=14-7x | | 102=-6(2x-5) | | 150[1000]= | | an=25-3n | | -2079+180m=0 | | -3.7c+5.8=-171.8 | | (-3G)4= | | 3000-120p=4000-160p | | -8(8b-7)=440 | | 2/5a-3/4=c | | 8=3(3x+8)+-1x | | -3.5v+4.4=87.7 | | 4x+14+2x+123=180 | | y-40=6x-30 | | a^2-ab-2b^2+a-2b= | | (x+6)(x+9)=16 | | 2y-2z= | | 9x^2-12x+4=1 | | -t+4=30.9 |

Equations solver categories