2(x+1)=8(x-3)-16

Simple and best practice solution for 2(x+1)=8(x-3)-16 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 2(x+1)=8(x-3)-16 equation: 


Simplifying
2(x + 1) = 8(x + -3) + -16

Reorder the terms:
2(1 + x) = 8(x + -3) + -16
(1 * 2 + x * 2) = 8(x + -3) + -16
(2 + 2x) = 8(x + -3) + -16

Reorder the terms:
2 + 2x = 8(-3 + x) + -16
2 + 2x = (-3 * 8 + x * 8) + -16
2 + 2x = (-24 + 8x) + -16

Reorder the terms:
2 + 2x = -24 + -16 + 8x

Combine like terms: -24 + -16 = -40
2 + 2x = -40 + 8x

Solving
2 + 2x = -40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 2x + -8x = -40 + 8x + -8x

Combine like terms: 2x + -8x = -6x
2 + -6x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -6x = -40 + 0
2 + -6x = -40

Add '-2' to each side of the equation.
2 + -2 + -6x = -40 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -40 + -2
-6x = -40 + -2

Combine like terms: -40 + -2 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

See similar equations:

| -3(x+4)=15 | | 5y=6y-9 | | 6w-(3/5)=(-4/5w)+(5/3) | | 30i+240=50i-160 | | 3c+5-7c=2c-11 | | -63+53= | | 4/43x+12/43=12/43 | | 10n-2=10n-8 | | 9x+2x+2=.33 | | 90w=8100 | | 26l=1586 | | 3(7x+-2)=26x | | 75l=8250 | | 94w=4700 | | 6x^4-17x^2+15=0 | | 11x-(8x-3)=18 | | 2x-2-x=x-2 | | x+2x+(x+24)=192 | | 2x-12+2x-8=180 | | 3x-5=4x-6 | | =x^3-2x^2-11x+12 | | 3(5z+2)-8=118 | | =x^3-2x^2-11x | | 2x-12=2x-8 | | 70=34-4(x-4) | | 2(2x-1)=16 | | n^2+9=6n | | =3x^2-4x-11 | | -3n+1-8n+n-4=9 | | 4/7(7/10)-1/5 | | -2(t+3)=10 | | 2x+7-x=8+4x-7 |

Equations solver categories