2-(6x-16)=7(x-2)

Simple and best practice solution for 2-(6x-16)=7(x-2) 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-(6x-16)=7(x-2) equation:


Simplifying
2 + -1(6x + -16) = 7(x + -2)

Reorder the terms:
2 + -1(-16 + 6x) = 7(x + -2)
2 + (-16 * -1 + 6x * -1) = 7(x + -2)
2 + (16 + -6x) = 7(x + -2)

Combine like terms: 2 + 16 = 18
18 + -6x = 7(x + -2)

Reorder the terms:
18 + -6x = 7(-2 + x)
18 + -6x = (-2 * 7 + x * 7)
18 + -6x = (-14 + 7x)

Solving
18 + -6x = -14 + 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.
18 + -6x + -7x = -14 + 7x + -7x

Combine like terms: -6x + -7x = -13x
18 + -13x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -13x = -14 + 0
18 + -13x = -14

Add '-18' to each side of the equation.
18 + -18 + -13x = -14 + -18

Combine like terms: 18 + -18 = 0
0 + -13x = -14 + -18
-13x = -14 + -18

Combine like terms: -14 + -18 = -32
-13x = -32

Divide each side by '-13'.
x = 2.461538462

Simplifying
x = 2.461538462

See similar equations:

| (8x^2/24y)/(3x/9y^2) | | 4x=98-3x | | x^2-3.18x-15.53=0 | | f(x)=x^2-5x+5 | | -8(3x+2)+6x=110 | | -6-17= | | e^2x+17=e^6x-3 | | 2x^2+2x-90=0 | | -8(3x+2)6x=110 | | 6x+5y=14 | | 68+56+15x-4=180 | | x^5+3x^3-4x=0 | | 12=8-2(2x-6) | | 5e^3x-4=10 | | 45+5x+10=180 | | 8x-(6x+5)=1 | | 2z=6z-12 | | 3y=5.7x-18 | | y=1.9x-6 | | 7y+2y=10 | | -2*81= | | x^5-9x^3=-8x | | H-15=9 | | 34+6x+2=180 | | 12x-42y=-132 | | 3y=2x+18 | | x/4-5=38 | | 26+1+3x=180 | | 2*9/4 | | -13y+4x+2x=24x | | -16x+56y=184 | | 30+6x=180 |

Equations solver categories