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

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


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

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

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

Combine like terms: 6 + -3 = 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:

| 2(4x+9)=8 | | 3x-8=x+12 | | 3(18z-4w)+2(10z-6w)= | | x+5-17=-8 | | (-3x+9)=(9x+3) | | 4x*2x-4=40 | | -x/4+3=8 | | 15-(-4x-5)=32 | | 0x=20 | | 51-7x=2x+19 | | 0x=1 | | -3=x/2 | | x^2-40=0 | | 9x+3y+4=0 | | -12-x=3 | | x(2x+5)=75 | | 2p(4-p)= | | 2x-6=3x | | x^2-18x=-92 | | 6x-10=5x+3 | | -9x+5x-19=2 | | 4x+1=2+3x | | 4+2y=6 | | y=x^2+2x+7 | | y=x^2+2x+7y=x+7 | | 4m+8=12 | | 7+4(x-4)=8x-45 | | 2.63x-56=102 | | 9x+3y=-1-3 | | 6x-3=36 | | 181.84=2.27w+15.75 | | 3x+10y=16 |

Equations solver categories