30(7-2.5x)=14(2x-8)+54.2

Simple and best practice solution for 30(7-2.5x)=14(2x-8)+54.2 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 30(7-2.5x)=14(2x-8)+54.2 equation: 


Simplifying
30(7 + -2.5x) = 14(2x + -8) + 54.2
(7 * 30 + -2.5x * 30) = 14(2x + -8) + 54.2
(210 + -75x) = 14(2x + -8) + 54.2

Reorder the terms:
210 + -75x = 14(-8 + 2x) + 54.2
210 + -75x = (-8 * 14 + 2x * 14) + 54.2
210 + -75x = (-112 + 28x) + 54.2

Reorder the terms:
210 + -75x = -112 + 54.2 + 28x

Combine like terms: -112 + 54.2 = -57.8
210 + -75x = -57.8 + 28x

Solving
210 + -75x = -57.8 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
210 + -75x + -28x = -57.8 + 28x + -28x

Combine like terms: -75x + -28x = -103x
210 + -103x = -57.8 + 28x + -28x

Combine like terms: 28x + -28x = 0
210 + -103x = -57.8 + 0
210 + -103x = -57.8

Add '-210' to each side of the equation.
210 + -210 + -103x = -57.8 + -210

Combine like terms: 210 + -210 = 0
0 + -103x = -57.8 + -210
-103x = -57.8 + -210

Combine like terms: -57.8 + -210 = -267.8
-103x = -267.8

Divide each side by '-103'.
x = 2.6

Simplifying
x = 2.6

See similar equations:

| 6/4=12/? | | 12(6x-10)=18(x+3) | | 6/4=12/ | | 20+3*5.5-15+5.5= | | 3n+n+7= | | 3m-9-4=4m-28 | | 5(2m+2)=25 | | 19c+9=19 | | (3x-12)/(3x-15) | | .5(-4+6x)=.333x+.666(x+9) | | 3+17x=4(9x+36)-x | | -cos(2x+2pi)-1=0 | | 3x-12/3x-15 | | b=27-b | | 2(4x1/2)-3-1 | | -8z=6 | | G+2.3=12 | | -3(4x+3+3)+4(6x+1)=43 | | 6(3-p)= | | 205-3x=70 | | 3.1(x+2)-2=-11.3 | | 8x-8=-6x-18+40 | | 36v+9=36 | | 13+7x=4(4x+40)+x | | 10/22= | | 6(x-1)-10=-5.8 | | .39(x+60)+.38(x+50)=-42.3 | | R+2=3.5 | | 12+m=17 | | 4x+2[x+2]=-56 | | 88-17v=-10v+18 | | n-4(3-3n)=-77 |

Equations solver categories