4(x-2)+3x=2(x+1)

Simple and best practice solution for 4(x-2)+3x=2(x+1) 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 4(x-2)+3x=2(x+1) equation:


Simplifying
4(x + -2) + 3x = 2(x + 1)

Reorder the terms:
4(-2 + x) + 3x = 2(x + 1)
(-2 * 4 + x * 4) + 3x = 2(x + 1)
(-8 + 4x) + 3x = 2(x + 1)

Combine like terms: 4x + 3x = 7x
-8 + 7x = 2(x + 1)

Reorder the terms:
-8 + 7x = 2(1 + x)
-8 + 7x = (1 * 2 + x * 2)
-8 + 7x = (2 + 2x)

Solving
-8 + 7x = 2 + 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.
-8 + 7x + -2x = 2 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-8 + 5x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 5x = 2 + 0
-8 + 5x = 2

Add '8' to each side of the equation.
-8 + 8 + 5x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 2 + 8
5x = 2 + 8

Combine like terms: 2 + 8 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

See similar equations:

| 3h-3h+2h=16 | | 15u+3u+3u-20u+4u=20 | | 5x+2+2x=-12 | | -9+r=-2r | | log[3](9x)=6 | | 3g-10=2g | | -5(3.5-6z)=29.5 | | 4x(6-7)=4r+9 | | 7-4w=5w-2 | | -8+2g=-2g | | y=2lx+1l | | -8n=-8-10n | | 2x-6=-5x+57 | | 3x+2.5=1.5(x+4) | | -9(6.5r-5)=29.5 | | 12m-9m=18 | | 8k-2k=6 | | 2x+91=y | | 4x+y=6(y) | | 3m+k=10 | | 4d+9=3d | | -2(6+m)+3(6+3m)=5m+3m | | 3(4x-2)+8=14 | | -10-8n=10-10n | | .5p-24=-28 | | 22=x^7 | | 22=5x^2 | | -10-8n=10n | | 3x^2-7x+4=factor | | 4x-14=80 | | 7+2(p-1)=-1 | | 5m^2-41m+42=0 |

Equations solver categories