2(x+4)=3(x+2)+8

Simple and best practice solution for 2(x+4)=3(x+2)+8 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 2(x+4)=3(x+2)+8 equation: 


Simplifying
2(x + 4) = 3(x + 2) + 8

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

Reorder the terms:
8 + 2x = 3(2 + x) + 8
8 + 2x = (2 * 3 + x * 3) + 8
8 + 2x = (6 + 3x) + 8

Reorder the terms:
8 + 2x = 6 + 8 + 3x

Combine like terms: 6 + 8 = 14
8 + 2x = 14 + 3x

Solving
8 + 2x = 14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 2x + -3x = 14 + 3x + -3x

Combine like terms: 2x + -3x = -1x
8 + -1x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1x = 14 + 0
8 + -1x = 14

Add '-8' to each side of the equation.
8 + -8 + -1x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 14 + -8
-1x = 14 + -8

Combine like terms: 14 + -8 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

See similar equations:

| -4(-5m-1)=164 | | x/3+3/5=-1/18 | | xa=b | | 3(3x-7)=-84 | | 12=3.14 | | 2x-14=3x | | 4(6v+4)=-152 | | 108x^2-6x-30=0 | | 5g-4=12(10g-12) | | 25-b^2=0 | | -3(8n-6)=-126 | | 5x=b+c | | 5.5q-1.5-5.6q=1.1q-2.9 | | 12x^2+52x-120=0 | | -12+3n+7-8n=45 | | -7m+m=6 | | 3v^2+10v+9=0 | | 16x^2+38x+12=0 | | -1+7p-2p=14 | | 33x^2+10x-7=0 | | 12(10p-18)=-7 | | h-26=76 | | w+19=45 | | 35x^2-59x-48=0 | | 5p+4+8=-18 | | 23w+4=-26 | | 5a-8a+4=12-7 | | 6x+8-4x=6 | | 1+2n+5n=1 | | 20-4x=40 | | 14x^2+x-4=0 | | 9x+6=6x-15 |

Equations solver categories