2(x-4)+4(2x-3)=10

Simple and best practice solution for 2(x-4)+4(2x-3)=10 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)+4(2x-3)=10 equation: 


Simplifying
2(x + -4) + 4(2x + -3) = 10

Reorder the terms:
2(-4 + x) + 4(2x + -3) = 10
(-4 * 2 + x * 2) + 4(2x + -3) = 10
(-8 + 2x) + 4(2x + -3) = 10

Reorder the terms:
-8 + 2x + 4(-3 + 2x) = 10
-8 + 2x + (-3 * 4 + 2x * 4) = 10
-8 + 2x + (-12 + 8x) = 10

Reorder the terms:
-8 + -12 + 2x + 8x = 10

Combine like terms: -8 + -12 = -20
-20 + 2x + 8x = 10

Combine like terms: 2x + 8x = 10x
-20 + 10x = 10

Solving
-20 + 10x = 10

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 10x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 10 + 20
10x = 10 + 20

Combine like terms: 10 + 20 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

See similar equations:

| 2x^2-22x=-56 | | 7x^2=-2x | | 5n-12=4(2n-12) | | 2[6y-(3y+1)]=4y-5 | | 8x+3=5x-3 | | 7g-(9g-16)=g-5 | | x+3-2x=1 | | 7x^2=-x | | 3p+4=0.4p+30 | | 3x^2=-x | | 5(2x-3)-6(3x-4)=5x-4 | | 3x=x-(5-3x) | | 100x^2+20=0 | | 3x-2+12=2(x-1) | | 3x-2+12=x-1 | | 2a-8=8a-32 | | X^4-4x^2+4-16x^2-32+28=0 | | X^4-4x+4-16x-32+28=0 | | 5x-3y=x | | 18+8x=5x-3 | | (2y+4y)-(y+9)=26 | | x+(2x)+(2x+180)=1620 | | 9(3y-9)=32+19 | | 7x-4=5x+10 | | 1/2=s/32 | | 10x=14+6 | | 4b=11 | | 4b=21 | | 6y-2y+y= | | z=2x-3y | | 3(y+2)=y-5 | | -6x^2-x-5=0 |

Equations solver categories