3(x-8)+12(x-8)+6x=42

Simple and best practice solution for 3(x-8)+12(x-8)+6x=42 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(x-8)+12(x-8)+6x=42 equation: 


Simplifying
3(x + -8) + 12(x + -8) + 6x = 42

Reorder the terms:
3(-8 + x) + 12(x + -8) + 6x = 42
(-8 * 3 + x * 3) + 12(x + -8) + 6x = 42
(-24 + 3x) + 12(x + -8) + 6x = 42

Reorder the terms:
-24 + 3x + 12(-8 + x) + 6x = 42
-24 + 3x + (-8 * 12 + x * 12) + 6x = 42
-24 + 3x + (-96 + 12x) + 6x = 42

Reorder the terms:
-24 + -96 + 3x + 12x + 6x = 42

Combine like terms: -24 + -96 = -120
-120 + 3x + 12x + 6x = 42

Combine like terms: 3x + 12x = 15x
-120 + 15x + 6x = 42

Combine like terms: 15x + 6x = 21x
-120 + 21x = 42

Solving
-120 + 21x = 42

Solving for variable 'x'.

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

Add '120' to each side of the equation.
-120 + 120 + 21x = 42 + 120

Combine like terms: -120 + 120 = 0
0 + 21x = 42 + 120
21x = 42 + 120

Combine like terms: 42 + 120 = 162
21x = 162

Divide each side by '21'.
x = 7.714285714

Simplifying
x = 7.714285714

See similar equations:

| 3(0.25+2.25y)=7y-2 | | 15p=16p+18 | | 188=-6x+2(-6x+4) | | 3/4x-4=1/5x | | 45=6x+1 | | 2x+45=8x-9 | | -2(w-4)=4w+28 | | -416.72x^2+4416.7x+8500=12354 | | 1/4x=1029 | | 16+1x=8+1x | | 90=6x+1 | | 2-[3-4x]=0 | | V-1/6=2/5 | | 6v-(2v+8)=32 | | 12x+18.20(3)=81.60 | | 30=4x-1 | | -68+p=qx+34 | | 1/5n-4=10 | | w^2+8-9w=0 | | 16-x^2-y^2=0 | | 4x+12-2x+8=2x | | 2x+24=64 | | 8[9-(-5x-6)]=120x+216 | | 2(x-1)+6x=4(equation-1)+2 | | 8x-3y+6=0 | | 69=2x+3 | | x(4.8-2)=4.8-2 | | 200+5x=1463.75 | | 5xt+2=10xt+6 | | 23=n-(-18) | | 2x+(-9-x)=-6 | | 500-x=184 |

Equations solver categories