6(x+3)-2=2(x-5)

Simple and best practice solution for 6(x+3)-2=2(x-5) 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 6(x+3)-2=2(x-5) equation: 


Simplifying
6(x + 3) + -2 = 2(x + -5)

Reorder the terms:
6(3 + x) + -2 = 2(x + -5)
(3 * 6 + x * 6) + -2 = 2(x + -5)
(18 + 6x) + -2 = 2(x + -5)

Reorder the terms:
18 + -2 + 6x = 2(x + -5)

Combine like terms: 18 + -2 = 16
16 + 6x = 2(x + -5)

Reorder the terms:
16 + 6x = 2(-5 + x)
16 + 6x = (-5 * 2 + x * 2)
16 + 6x = (-10 + 2x)

Solving
16 + 6x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 6x + -2x = -10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
16 + 4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 4x = -10 + 0
16 + 4x = -10

Add '-16' to each side of the equation.
16 + -16 + 4x = -10 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = -10 + -16
4x = -10 + -16

Combine like terms: -10 + -16 = -26
4x = -26

Divide each side by '4'.
x = -6.5

Simplifying
x = -6.5

See similar equations:

| 11x+17x-6+2=-3x+2-6 | | z-19=-13 | | 3+4y=12 | | 3.5d+3.1=4.7d+12.7 | | -11-4x=3(1-6x) | | F(-28)= | | 2(-1)-2=10 | | 0.10(t+200)=100 | | 1-6b=-8(5b-8)+5 | | 5p+1=8p-14 | | 6(x+3)=17+4x | | 7k+1=-7+8k | | x+22+4x=136-4x-41 | | -4(n+5)=-26-4n | | 1(5x-12)=6(x+9) | | (-21*x-28)/6 | | 6y=8y-16 | | 137=x | | 7+3x=7(1-5x) | | -5/16(r+16)-1/4(4r-20)=3/4 | | 3z=-2-15 | | -38+7m=6(4m+5) | | 6x-5=8x-26 | | -37-7a=-4(4a-2) | | n+52/3=0 | | 2(5+3x)=5(x-2) | | -11x=253 | | -9+7y=24-4y | | 3-z/2=7 | | 5y-11=54 | | 5x+4x+8+7+11x=55 | | 3x/14+5x/7 |

Equations solver categories