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

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


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

Reorder the terms:
2(4 + 3x) + -4(x + -3) = 5x + 2
(4 * 2 + 3x * 2) + -4(x + -3) = 5x + 2
(8 + 6x) + -4(x + -3) = 5x + 2

Reorder the terms:
8 + 6x + -4(-3 + x) = 5x + 2
8 + 6x + (-3 * -4 + x * -4) = 5x + 2
8 + 6x + (12 + -4x) = 5x + 2

Reorder the terms:
8 + 12 + 6x + -4x = 5x + 2

Combine like terms: 8 + 12 = 20
20 + 6x + -4x = 5x + 2

Combine like terms: 6x + -4x = 2x
20 + 2x = 5x + 2

Reorder the terms:
20 + 2x = 2 + 5x

Solving
20 + 2x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + 2x + -5x = 2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
20 + -3x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -3x = 2 + 0
20 + -3x = 2

Add '-20' to each side of the equation.
20 + -20 + -3x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 2 + -20
-3x = 2 + -20

Combine like terms: 2 + -20 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

See similar equations:

| x^2+4xy+16y^2=27 | | 0.0401= | | 3-5(2x-1)=8 | | 7(x+8)=3x+72 | | X+85=150 | | 6t-12=-12 | | -2+10=-6 | | x+32=10 | | 15-r/7=21 | | 6mn*6m^2n= | | 6x=28.2 | | 2xw*8w= | | 20x-y=107 | | 15-3k=0 | | 9a*6a= | | 12-3k+3=0 | | 7x+5=(2-5x) | | 2.1=4.5x-2.4 | | 3x+-3=0 | | x+x+x+x+1=29 | | 6x+4x+9=-11 | | X^2(2X+5)=21X+X^2(X+9) | | 2.5=x/-5 | | 3x-3+2x+8+1=0 | | 1/9r-6=7 | | (X+12)+(2x-6)=-3 | | -1x-y+3=0 | | 32c2/3c | | 14a=9a-10 | | 6(v+4)-8v=28 | | 4y+29-y-4=6 | | x+2+3x+4=2 |

Equations solver categories