2(x-8)=3(x-2)

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


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

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

Reorder the terms:
-16 + 2x = 3(-2 + x)
-16 + 2x = (-2 * 3 + x * 3)
-16 + 2x = (-6 + 3x)

Solving
-16 + 2x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-16 + 2x + -3x = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-16 + -1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + -1x = -6 + 0
-16 + -1x = -6

Add '16' to each side of the equation.
-16 + 16 + -1x = -6 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -6 + 16
-1x = -6 + 16

Combine like terms: -6 + 16 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

See similar equations:

| Y=x(x-14)+54 | | 3x+19=(3x-4)+(x+17) | | 4(m-1)=3m+11 | | 2x+7x-10=25 | | 4a+8/8=13 | | x+3=-x-111 | | 18-7x=-3 | | (4x-19)=93+2x | | 2x^4+7x^2+15=0 | | (x+8)(x+1)=(x+5)(x-3) | | 4ln(2x+2)=24 | | 2+0.166=5 | | a^2+6a-17=10 | | 4+3(v+8)=7 | | 6x^2+15x-75=0 | | m^2-2m-36=0 | | 3(x+2)=x+9 | | 40=-.3(9x+30)+2 | | 0.18-0.4= | | 6+10n-4-6n=-22 | | ln(p)+ln(p+4)=ln(77) | | 8x-9=35 | | 3mn(m+6n)= | | 2x^2+9x-455=0 | | 3(-14)+19=180 | | 3(-14)+19= | | 2x^2-4x-2=14 | | 4(5x-1)+1=20x-3 | | (n-5)-3=26 | | 3(x+9)-2x=-9 | | -7-5=x | | 4x^3+200=0 |

Equations solver categories