0.2x-0.3(6-5x)=-0.4(x-6)

Simple and best practice solution for 0.2x-0.3(6-5x)=-0.4(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 0.2x-0.3(6-5x)=-0.4(x-6) equation: 


Simplifying
0.2x + -0.3(6 + -5x) = -0.4(x + -6)
0.2x + (6 * -0.3 + -5x * -0.3) = -0.4(x + -6)
0.2x + (-1.8 + 1.5x) = -0.4(x + -6)

Reorder the terms:
-1.8 + 0.2x + 1.5x = -0.4(x + -6)

Combine like terms: 0.2x + 1.5x = 1.7x
-1.8 + 1.7x = -0.4(x + -6)

Reorder the terms:
-1.8 + 1.7x = -0.4(-6 + x)
-1.8 + 1.7x = (-6 * -0.4 + x * -0.4)
-1.8 + 1.7x = (2.4 + -0.4x)

Solving
-1.8 + 1.7x = 2.4 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-1.8 + 1.7x + 0.4x = 2.4 + -0.4x + 0.4x

Combine like terms: 1.7x + 0.4x = 2.1x
-1.8 + 2.1x = 2.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-1.8 + 2.1x = 2.4 + 0.0
-1.8 + 2.1x = 2.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 2.1x = 2.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 2.1x = 2.4 + 1.8
2.1x = 2.4 + 1.8

Combine like terms: 2.4 + 1.8 = 4.2
2.1x = 4.2

Divide each side by '2.1'.
x = 2

Simplifying
x = 2

See similar equations:

| y=[3x-3]+5 | | 8t+4=3t+5 | | 8t/4=3t+5 | | x^2-15x+54=155 | | [x]=-6 | | 6t+4=7t-8 | | [x+3]=9 | | 21=5-4x | | -5y+8=6y+2 | | 1.76x+2.5=-2.75-3.98 | | 4[2x-1]=3[2x+1] | | 2x+4=7x | | 7x-2=-3x-3 | | 5x+2-3x^2=2y^2 | | 2x-3+4x=5x-1 | | 5x-2+7=6x+5-x | | 3x-3+2x=0 | | 22+5y-6=17y-11-3y | | 20=-12+v | | 2+5y-6=17y-11-3y | | 5m*m=-10 | | 9y-16=-16+6y | | y=7385-67x | | x^4-17x^3+17x^2-17x+20voix=6 | | 3x+7y=10 | | -e+v+f=2 | | 4x-19=11+2x | | -3(4s-3)-9=-3(8s+2)-4 | | (4)(-6)(5)= | | 4.2x+57.8=10.5-6.5x | | 24x^2-156x-288= | | (x+8)(x-18)=0 |

Equations solver categories