3(x-4)=6(3)-2(x-5)

Simple and best practice solution for 3(x-4)=6(3)-2(x-5) 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-4)=6(3)-2(x-5) equation:


Simplifying
3(x + -4) = 6(3) + -2(x + -5)

Reorder the terms:
3(-4 + x) = 6(3) + -2(x + -5)
(-4 * 3 + x * 3) = 6(3) + -2(x + -5)
(-12 + 3x) = 6(3) + -2(x + -5)

Multiply 6 * 3
-12 + 3x = 18 + -2(x + -5)

Reorder the terms:
-12 + 3x = 18 + -2(-5 + x)
-12 + 3x = 18 + (-5 * -2 + x * -2)
-12 + 3x = 18 + (10 + -2x)

Combine like terms: 18 + 10 = 28
-12 + 3x = 28 + -2x

Solving
-12 + 3x = 28 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 3x + 2x = 28 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-12 + 5x = 28 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 5x = 28 + 0
-12 + 5x = 28

Add '12' to each side of the equation.
-12 + 12 + 5x = 28 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 28 + 12
5x = 28 + 12

Combine like terms: 28 + 12 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

See similar equations:

| 3x=x+90 | | 21c^2-52c+7= | | 21-2*14-5= | | 4(x+3)=8(x+5) | | 2x+11=4x+-1 | | 5z^2+43z-70=0 | | -4X-7+6x=2 | | 356+56b=-832 | | 63=-3(1-1n) | | 10x+1=9x+2 | | -4*1.25-Y=-1 | | 2(5x+7)=-3 | | -7z+(-19z)= | | 3(x-4)-2x=15 | | 7(2y+8)= | | (x+yi)(2-i)=-i | | (x+yi)(2-i)=-1 | | -4(x-2)=-3(x-1) | | 2x+8(x-3)=6 | | 5(t+3)=-10 | | 2x+41-3x=3-7x+2 | | m(2k+3n)= | | 15x-10w= | | 6x-9=5x-3 | | 2a+b+3a+4b= | | 5m-2=-22 | | 47=-(-8) | | 5(4s+4)=100 | | -11+6=-5(x+7) | | -4(r-3)=-16 | | 19b-9b= | | 3(2x-1)=-8 |

Equations solver categories