3(x-4)-4(3x-10)=4(2x-3)+6(3x+1)

Simple and best practice solution for 3(x-4)-4(3x-10)=4(2x-3)+6(3x+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 3(x-4)-4(3x-10)=4(2x-3)+6(3x+1) equation:


Simplifying
3(x + -4) + -4(3x + -10) = 4(2x + -3) + 6(3x + 1)

Reorder the terms:
3(-4 + x) + -4(3x + -10) = 4(2x + -3) + 6(3x + 1)
(-4 * 3 + x * 3) + -4(3x + -10) = 4(2x + -3) + 6(3x + 1)
(-12 + 3x) + -4(3x + -10) = 4(2x + -3) + 6(3x + 1)

Reorder the terms:
-12 + 3x + -4(-10 + 3x) = 4(2x + -3) + 6(3x + 1)
-12 + 3x + (-10 * -4 + 3x * -4) = 4(2x + -3) + 6(3x + 1)
-12 + 3x + (40 + -12x) = 4(2x + -3) + 6(3x + 1)

Reorder the terms:
-12 + 40 + 3x + -12x = 4(2x + -3) + 6(3x + 1)

Combine like terms: -12 + 40 = 28
28 + 3x + -12x = 4(2x + -3) + 6(3x + 1)

Combine like terms: 3x + -12x = -9x
28 + -9x = 4(2x + -3) + 6(3x + 1)

Reorder the terms:
28 + -9x = 4(-3 + 2x) + 6(3x + 1)
28 + -9x = (-3 * 4 + 2x * 4) + 6(3x + 1)
28 + -9x = (-12 + 8x) + 6(3x + 1)

Reorder the terms:
28 + -9x = -12 + 8x + 6(1 + 3x)
28 + -9x = -12 + 8x + (1 * 6 + 3x * 6)
28 + -9x = -12 + 8x + (6 + 18x)

Reorder the terms:
28 + -9x = -12 + 6 + 8x + 18x

Combine like terms: -12 + 6 = -6
28 + -9x = -6 + 8x + 18x

Combine like terms: 8x + 18x = 26x
28 + -9x = -6 + 26x

Solving
28 + -9x = -6 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
28 + -9x + -26x = -6 + 26x + -26x

Combine like terms: -9x + -26x = -35x
28 + -35x = -6 + 26x + -26x

Combine like terms: 26x + -26x = 0
28 + -35x = -6 + 0
28 + -35x = -6

Add '-28' to each side of the equation.
28 + -28 + -35x = -6 + -28

Combine like terms: 28 + -28 = 0
0 + -35x = -6 + -28
-35x = -6 + -28

Combine like terms: -6 + -28 = -34
-35x = -34

Divide each side by '-35'.
x = 0.9714285714

Simplifying
x = 0.9714285714

See similar equations:

| 75t+16t=102 | | 29.95x=0.14 | | 18j+-19j-4j=20 | | 7d-10=32 | | 5(3x+9)-3x=15x-2(x-5) | | 56=j+29 | | 4(3y+2)=4-2(y-2) | | 20r-19r=12 | | .333(-2)+3= | | 4q+1=33 | | 5x+7-2x+1=0 | | -3a-3a+4a=6 | | 0y=20 | | 360=200+2q | | 148+(7b)=200 | | 3y-2y=17 | | 1.49x+0=.99x+24 | | 5t-11=3t-5 | | 5(x+1)+59=-3x | | 5(2x-2)=2(4x-1) | | 5x+7-2x=0 | | 4m-4m+m=20 | | 1000000=30(1.9) | | 100-10(2+3)+4= | | 9h-7h=18 | | 3x+45.87=60.54 | | 4(2+3)=32 | | 10(3-11r)=-10(1+12r) | | 5a-4= | | 4x+4+8x=15 | | sover-20=7 | | -6(r+8)=5r+29 |

Equations solver categories