3x+7(x+4)=2(x-6)

Simple and best practice solution for 3x+7(x+4)=2(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 3x+7(x+4)=2(x-6) equation:


Simplifying
3x + 7(x + 4) = 2(x + -6)

Reorder the terms:
3x + 7(4 + x) = 2(x + -6)
3x + (4 * 7 + x * 7) = 2(x + -6)
3x + (28 + 7x) = 2(x + -6)

Reorder the terms:
28 + 3x + 7x = 2(x + -6)

Combine like terms: 3x + 7x = 10x
28 + 10x = 2(x + -6)

Reorder the terms:
28 + 10x = 2(-6 + x)
28 + 10x = (-6 * 2 + x * 2)
28 + 10x = (-12 + 2x)

Solving
28 + 10x = -12 + 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.
28 + 10x + -2x = -12 + 2x + -2x

Combine like terms: 10x + -2x = 8x
28 + 8x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + 8x = -12 + 0
28 + 8x = -12

Add '-28' to each side of the equation.
28 + -28 + 8x = -12 + -28

Combine like terms: 28 + -28 = 0
0 + 8x = -12 + -28
8x = -12 + -28

Combine like terms: -12 + -28 = -40
8x = -40

Divide each side by '8'.
x = -5

Simplifying
x = -5

See similar equations:

| x+7.50=0 | | -8x^2+72x-64=0 | | 3(-b+4a-2b)= | | -5(u-3)=-2u+39 | | 3(x+1)+2(x+5)=2(x-7) | | 3(10-2y)-2y=0 | | 3(x+3)+5x=-31 | | -15+5(x+10)=10 | | 4y+8=28-5y | | 4(n-(1))+n-7=24 | | 4(n-1)+n-7= | | 2(x+3.57)=x+4.31 | | -31+z=-45 | | 5=3-2c | | (5x+4)2=49 | | 4/5x-2/3=3x/2+1/2 | | -20-3(x-5)=22(x-5) | | 2x-9=3(x-7) | | x+6(x-6)=5(x-4)-32 | | -4x*6y= | | -4+3=-6+6x | | 2(5x-1)=3(4x+3) | | y^3-12y=0 | | 3(4x+3)=2(5x-1) | | (-x)(-x)(-x)(-x)*6y= | | log(13x)=2 | | 6(2x-1)=2(5x+1) | | 2(5x+1)=6(2x-1) | | x(5x+6)=0 | | 5(x-3)=7(x+4) | | 2.35x-4.2x+4.3= | | -12a-2b+7a-11b-a= |

Equations solver categories