3(x+2)=7(x-6)

Simple and best practice solution for 3(x+2)=7(x-6) 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)=7(x-6) equation:


Simplifying
3(x + 2) = 7(x + -6)

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

Reorder the terms:
6 + 3x = 7(-6 + x)
6 + 3x = (-6 * 7 + x * 7)
6 + 3x = (-42 + 7x)

Solving
6 + 3x = -42 + 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.
6 + 3x + -7x = -42 + 7x + -7x

Combine like terms: 3x + -7x = -4x
6 + -4x = -42 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -4x = -42 + 0
6 + -4x = -42

Add '-6' to each side of the equation.
6 + -6 + -4x = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -42 + -6
-4x = -42 + -6

Combine like terms: -42 + -6 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

See similar equations:

| 6p-8=-14 | | 2(5y+3)=6y-3 | | 4a-11*3=8 | | 3X+8y=105 | | 10y-(8y-6)=-2 | | f(x)=x^2+225 | | h(t)=-16t^2+192t+8 | | 15+2(2m-18)=21 | | 15y-13y+2y-4=12 | | 110-(5x+13)=5(x+4)+x | | 4(x-3)-(x+4)*x+4*x=5x-x^2 | | 5+6n=9+2n | | 7(3m+4)=2 | | 4500=50x+8(1.5x) | | 4x-3y=-25 | | -2a-5=11+4a | | 2x+12+3x=7+x+5 | | 4(x-6)=7x+8 | | 3(4x+6)+2x=18 | | 0.20(y-5)+0.02y=0.12y-0.03(10) | | (3x+5i)(4-2i)= | | 5r+2=26r+5 | | 5(x+1)=4x+7 | | 5n+5=10+2n | | 1x+1x=-16 | | 3(5-2n)+(8j-7)= | | 2r+8=44r+15 | | -2(x+3)+10=6 | | 5g+5g+6=2g+18 | | 3047=.40y | | 7r+6=28r+9 | | 2n-8=p |

Equations solver categories