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

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


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

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

Reorder the terms:
12 + 3x + -5(-4 + x) = 2x + 4(x + -6)
12 + 3x + (-4 * -5 + x * -5) = 2x + 4(x + -6)
12 + 3x + (20 + -5x) = 2x + 4(x + -6)

Reorder the terms:
12 + 20 + 3x + -5x = 2x + 4(x + -6)

Combine like terms: 12 + 20 = 32
32 + 3x + -5x = 2x + 4(x + -6)

Combine like terms: 3x + -5x = -2x
32 + -2x = 2x + 4(x + -6)

Reorder the terms:
32 + -2x = 2x + 4(-6 + x)
32 + -2x = 2x + (-6 * 4 + x * 4)
32 + -2x = 2x + (-24 + 4x)

Reorder the terms:
32 + -2x = -24 + 2x + 4x

Combine like terms: 2x + 4x = 6x
32 + -2x = -24 + 6x

Solving
32 + -2x = -24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
32 + -2x + -6x = -24 + 6x + -6x

Combine like terms: -2x + -6x = -8x
32 + -8x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -8x = -24 + 0
32 + -8x = -24

Add '-32' to each side of the equation.
32 + -32 + -8x = -24 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = -24 + -32
-8x = -24 + -32

Combine like terms: -24 + -32 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

See similar equations:

| -5+6m-4m= | | 6=3k | | -13-2(4-3x)=-12 | | -16=p+3p | | q+10.3=15 | | 7(2x-1)-3x=x-17 | | -4(2x-1)-2x-1=2 | | 2m=5.8 | | -3(6-8n)=-186 | | (3x-7)+(14x-2)= | | 7x-x=21 | | 20x-30x-20=4x-6 | | -6+(-15)= | | 6+6k-k=-14 | | 62-11(3-4x)=15 | | 7x-21=y | | 4(x-3)-18=16 | | 62-11(3-4x)=-5 | | q=3+2p | | 10(-2x-3)-4(5x+3)=38 | | r/10+4=3 | | 15n+12-8n=61 | | 7(2x+4)+3(1+x)=48 | | 113=-9x+50 | | 8c+3=19 | | 16=3(6x+2)+4(x-3) | | 4(5x+2)=7x-5 | | 29=1-4x | | 5(-16+4y)=40 | | 3(3x-4)-2=3(x-4)+34 | | M-4=-14 | | 4x^4-x^2+6x-9=0 |

Equations solver categories