0.5(x+3)=0.2(x-6)

Simple and best practice solution for 0.5(x+3)=0.2(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 0.5(x+3)=0.2(x-6) equation: 


Simplifying
0.5(x + 3) = 0.2(x + -6)

Reorder the terms:
0.5(3 + x) = 0.2(x + -6)
(3 * 0.5 + x * 0.5) = 0.2(x + -6)
(1.5 + 0.5x) = 0.2(x + -6)

Reorder the terms:
1.5 + 0.5x = 0.2(-6 + x)
1.5 + 0.5x = (-6 * 0.2 + x * 0.2)
1.5 + 0.5x = (-1.2 + 0.2x)

Solving
1.5 + 0.5x = -1.2 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
1.5 + 0.5x + -0.2x = -1.2 + 0.2x + -0.2x

Combine like terms: 0.5x + -0.2x = 0.3x
1.5 + 0.3x = -1.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1.5 + 0.3x = -1.2 + 0.0
1.5 + 0.3x = -1.2

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.3x = -1.2 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.3x = -1.2 + -1.5
0.3x = -1.2 + -1.5

Combine like terms: -1.2 + -1.5 = -2.7
0.3x = -2.7

Divide each side by '0.3'.
x = -9

Simplifying
x = -9

See similar equations:

| y=x^2+14x+45 | | 4x-5=-11 | | 20=1-7t | | (14+2x)(20+2x)+(14)(20)(x)=832 | | 4x-5=25-x | | (14+2x)(20+2x)-(14)(20)(x)=832 | | 0.6x-3.7=8.9 | | 2(x-9)=3(x-5) | | solve(14+2x)(20+2x)+(14)(20)(x)=832 | | 1024x^3+250y^3=0 | | 905=5a | | 99-4x-6x=-1 | | 12y-3=16Y+5 | | 3+6y=8 | | 5u^2-6u-2=0 | | 4h=816 | | P-(-7)=(-7) | | 4x-4-8x=12 | | 25a^2+20ab+4b^2=0 | | 56-15z+z^2=0 | | .60x+15(170)=.30(81) | | -0.6x=30 | | 6x-3-x=2 | | -62x=30 | | 12-3(a-1)=11+a | | 2.4x+18=36 | | m^2-4m+4-n^2+6n-9=0 | | -1.6x=30 | | 12+11(-6)= | | ln(3x-15)=9 | | r-18=13+18 | | 4m^2+20m+24=0 |

Equations solver categories