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 = 52
52 + 3x + -12x = 4(2x + -3) + 6(3x + 1)

Combine like terms: 3x + -12x = -9x
52 + -9x = 4(2x + -3) + 6(3x + 1)

Reorder the terms:
52 + -9x = 4(-3 + 2x) + 6(3x + 1)
52 + -9x = (-3 * 4 + 2x * 4) + 6(3x + 1)
52 + -9x = (-12 + 8x) + 6(3x + 1)

Reorder the terms:
52 + -9x = -12 + 8x + 6(1 + 3x)
52 + -9x = -12 + 8x + (1 * 6 + 3x * 6)
52 + -9x = -12 + 8x + (6 + 18x)

Reorder the terms:
52 + -9x = -12 + 6 + 8x + 18x

Combine like terms: -12 + 6 = -6
52 + -9x = -6 + 8x + 18x

Combine like terms: 8x + 18x = 26x
52 + -9x = -6 + 26x

Solving
52 + -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.
52 + -9x + -26x = -6 + 26x + -26x

Combine like terms: -9x + -26x = -35x
52 + -35x = -6 + 26x + -26x

Combine like terms: 26x + -26x = 0
52 + -35x = -6 + 0
52 + -35x = -6

Add '-52' to each side of the equation.
52 + -52 + -35x = -6 + -52

Combine like terms: 52 + -52 = 0
0 + -35x = -6 + -52
-35x = -6 + -52

Combine like terms: -6 + -52 = -58
-35x = -58

Divide each side by '-35'.
x = 1.657142857

Simplifying
x = 1.657142857

See similar equations:

| 6x-3(x-4)=18 | | 7ln(6x)=35 | | (2w+3)(w)=54 | | 600=60/100*x | | 6.7x+2=2.7x+30 | | 4-2r=2 | | 6x:2*(1+2)=2 | | 5/7x+1=26 | | (l+3)(2w)=54 | | x^3+4x=60 | | -17n-14=-16n | | 4=x/6-4 | | 40x-10y=2370 | | 2w+(5+4w)=80 | | 10x-10y=2370 | | -1+4f=6f-7 | | 16-43=3(x-5)-3 | | -h-5=-18-11h+9h | | 12=55x | | 6+3p=-10+p | | 8/5x=85 | | -2-k=6-3k | | -7/2x=-21/10 | | x+7=4-x | | 5(n+2)+3/5(5+10n) | | -7(x+2)-12=36+1 | | -3g+5=-7-4-5g | | 10x^2+101x+10=0 | | 6-9j=-10j | | 2x+16=69 | | -9-7c=-4c+6 | | -3-3w=-4w |

Equations solver categories