3.8(10-2.5x)=12(2x-10)+47.8

Simple and best practice solution for 3.8(10-2.5x)=12(2x-10)+47.8 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 3.8(10-2.5x)=12(2x-10)+47.8 equation: 


Simplifying
3.8(10 + -2.5x) = 12(2x + -10) + 47.8
(10 * 3.8 + -2.5x * 3.8) = 12(2x + -10) + 47.8
(38 + -9.5x) = 12(2x + -10) + 47.8

Reorder the terms:
38 + -9.5x = 12(-10 + 2x) + 47.8
38 + -9.5x = (-10 * 12 + 2x * 12) + 47.8
38 + -9.5x = (-120 + 24x) + 47.8

Reorder the terms:
38 + -9.5x = -120 + 47.8 + 24x

Combine like terms: -120 + 47.8 = -72.2
38 + -9.5x = -72.2 + 24x

Solving
38 + -9.5x = -72.2 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
38 + -9.5x + -24x = -72.2 + 24x + -24x

Combine like terms: -9.5x + -24x = -33.5x
38 + -33.5x = -72.2 + 24x + -24x

Combine like terms: 24x + -24x = 0
38 + -33.5x = -72.2 + 0
38 + -33.5x = -72.2

Add '-38' to each side of the equation.
38 + -38 + -33.5x = -72.2 + -38

Combine like terms: 38 + -38 = 0
0 + -33.5x = -72.2 + -38
-33.5x = -72.2 + -38

Combine like terms: -72.2 + -38 = -110.2
-33.5x = -110.2

Divide each side by '-33.5'.
x = 3.289552239

Simplifying
x = 3.289552239

See similar equations:

| y=9+3z | | 3/5n=-3/10 | | 8(d+2.3)=16d-10.4 | | 8(d+2.3)=16d-2.4 | | -21/2=t/10 | | 6.5(y-5)=5.9-y | | 7.83=2(3.14)r | | 0.25-a/4=0.33 | | 5-2m-3m^2=0 | | 14-6x=18-5x | | 3(x+2)=9x-3 | | 6(0)+2y=12 | | 8(x+2)=5x+34 | | 0.375a-4=-0.25 | | 3.6x+73=5.1x+28 | | 41/4=13/4+p | | -110-8x=-110+6x | | 4y-7=8+8y | | 4-4x=-12 | | 84-7/5=x | | 15*x=45 | | 6x+17=11x-4 | | x=7/5(84) | | 1.6m=1.28 | | 0.25y+0.75=2 | | 8(t-2)+7t=5(3t+4)-13 | | 3(20+x)=6 | | 5(m-1)+2m-1= | | 18/x=6 | | h+2.8=1.28 | | S=12+96t-16t^2 | | 2/3g=41/2 |

Equations solver categories