0.2(x-2)+0.3(5x-4)=0.5x

Simple and best practice solution for 0.2(x-2)+0.3(5x-4)=0.5x 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 0.2(x-2)+0.3(5x-4)=0.5x equation:


Simplifying
0.2(x + -2) + 0.3(5x + -4) = 0.5x

Reorder the terms:
0.2(-2 + x) + 0.3(5x + -4) = 0.5x
(-2 * 0.2 + x * 0.2) + 0.3(5x + -4) = 0.5x
(-0.4 + 0.2x) + 0.3(5x + -4) = 0.5x

Reorder the terms:
-0.4 + 0.2x + 0.3(-4 + 5x) = 0.5x
-0.4 + 0.2x + (-4 * 0.3 + 5x * 0.3) = 0.5x
-0.4 + 0.2x + (-1.2 + 1.5x) = 0.5x

Reorder the terms:
-0.4 + -1.2 + 0.2x + 1.5x = 0.5x

Combine like terms: -0.4 + -1.2 = -1.6
-1.6 + 0.2x + 1.5x = 0.5x

Combine like terms: 0.2x + 1.5x = 1.7x
-1.6 + 1.7x = 0.5x

Solving
-1.6 + 1.7x = 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-1.6 + 1.7x + -0.5x = 0.5x + -0.5x

Combine like terms: 1.7x + -0.5x = 1.2x
-1.6 + 1.2x = 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1.6 + 1.2x = 0.0

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1.2x = 0.0 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1.2x = 0.0 + 1.6
1.2x = 0.0 + 1.6

Combine like terms: 0.0 + 1.6 = 1.6
1.2x = 1.6

Divide each side by '1.2'.
x = 1.333333333

Simplifying
x = 1.333333333

See similar equations:

| 3y+5y+7+9= | | 4x^3-24x^2+36x-8=0 | | 5-(8-3x)=(4x+7)-x | | 5.52y-38.64+9.2y=11.04y-77.28+64.4 | | 5.52y-38.64+9.2y=11.04y-77.28+64 | | 7(2n-6)= | | 0.6x+18+x=2x+23-0.5x | | 0.5(x-1)-0.6(x-4)=0.16(3x-1) | | 3/5-11/15 | | -28=3(v-6)-5v | | 6x-37+3x-19=90 | | s=0.5*9.8*t^2 | | 8x+11=2(4x-7)+24 | | 2/5÷15/2 | | 12x^2/x | | 0.3(x-1)-0.16(3x-5)=2x+3 | | 2+20x=4(5x+3) | | 7r+6=35r+13 | | 5x+3-2x=x-15+11 | | 10v-2v=-5v-50 | | 3(3+4x)-3=30 | | (x^3y^2+5x^2y^3+3xy+4)+(x^2y^3+7x^3y^2+5xy-3)= | | 6m+10=4(m-6)+7 | | 3/x=5x-c=0 | | 6x-2c=3(x-c)+2 | | 0,30=18/x | | 0.4(2-x)-0.25(3-5x)=x-4 | | 11-6x+20=20-5x | | 0,30x=18/x | | (1-9y)/(11-3y)=(5/8) | | (1-9y)/(11-3y)=(5/8). | | 4/7=-2 |

Equations solver categories