3(x+12)=5(x-2)

Simple and best practice solution for 3(x+12)=5(x-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 3(x+12)=5(x-2) equation: 


Simplifying
3(x + 12) = 5(x + -2)

Reorder the terms:
3(12 + x) = 5(x + -2)
(12 * 3 + x * 3) = 5(x + -2)
(36 + 3x) = 5(x + -2)

Reorder the terms:
36 + 3x = 5(-2 + x)
36 + 3x = (-2 * 5 + x * 5)
36 + 3x = (-10 + 5x)

Solving
36 + 3x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
36 + 3x + -5x = -10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
36 + -2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + -2x = -10 + 0
36 + -2x = -10

Add '-36' to each side of the equation.
36 + -36 + -2x = -10 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = -10 + -36
-2x = -10 + -36

Combine like terms: -10 + -36 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

See similar equations:

| -k+11=-24 | | 2m+7=29 | | -7(3x-1)=-21x+7 | | 12+b+1.5b= | | 52=-42+x | | 3m+2=-2n-8 | | t=4.41s+3 | | t=4.41+3s | | 4-2(6h-8)=116 | | 18*53= | | 4d=-52 | | x+0.15=0.14x-0.25 | | -5=v-5 | | 9s+20=128 | | 4(2x+3)-8(x+7)=70 | | 3x+5x-6=22 | | 1/2-2=t/10 | | 2(4x+8)=7x-20 | | e^2x=148 | | 20+-3x= | | 70=w*7 | | 16+1x+20=124 | | 4x^3+60x^2+176x=0 | | -11x+15=-9x-43 | | -14=2f | | 9+3x=4x-2 | | -12=2b | | 18b+12(87-5n+10b+n)-13=68 | | 11x(-7)= | | -11+15=-9x-43 | | 3(3x)-9=12+15 | | 6.7x=5.1x+12.3 |

Equations solver categories