4(x-3)-(x+6)=2(x+11)-4x

Simple and best practice solution for 4(x-3)-(x+6)=2(x+11)-4x 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 4(x-3)-(x+6)=2(x+11)-4x equation:


Simplifying
4(x + -3) + -1(x + 6) = 2(x + 11) + -4x

Reorder the terms:
4(-3 + x) + -1(x + 6) = 2(x + 11) + -4x
(-3 * 4 + x * 4) + -1(x + 6) = 2(x + 11) + -4x
(-12 + 4x) + -1(x + 6) = 2(x + 11) + -4x

Reorder the terms:
-12 + 4x + -1(6 + x) = 2(x + 11) + -4x
-12 + 4x + (6 * -1 + x * -1) = 2(x + 11) + -4x
-12 + 4x + (-6 + -1x) = 2(x + 11) + -4x

Reorder the terms:
-12 + -6 + 4x + -1x = 2(x + 11) + -4x

Combine like terms: -12 + -6 = -18
-18 + 4x + -1x = 2(x + 11) + -4x

Combine like terms: 4x + -1x = 3x
-18 + 3x = 2(x + 11) + -4x

Reorder the terms:
-18 + 3x = 2(11 + x) + -4x
-18 + 3x = (11 * 2 + x * 2) + -4x
-18 + 3x = (22 + 2x) + -4x

Combine like terms: 2x + -4x = -2x
-18 + 3x = 22 + -2x

Solving
-18 + 3x = 22 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-18 + 3x + 2x = 22 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-18 + 5x = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 5x = 22 + 0
-18 + 5x = 22

Add '18' to each side of the equation.
-18 + 18 + 5x = 22 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 22 + 18
5x = 22 + 18

Combine like terms: 22 + 18 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

See similar equations:

| 1+7x=71 | | 6x-3=15x-39 | | 7x=6x-1 | | 7x+6x+3+9=9x+5+3x | | 6x-2=2+2x | | 6a^2-17a+7= | | 7x-4+2x=33 | | 6x+11-8x=20-15x+13x-9 | | 1.6t=11.2 | | 10-4n=4(4-n) | | -7x+6=55 | | 3-5d=-12 | | 3x+65=8x+10 | | 105-(6x+11)=6(x+7)+x | | x=-9+5 | | 8(2x-2)=32 | | 6x-50=4x+30 | | 6.4x-2.3x=-123 | | X-70=30 | | -21+x=x+14 | | 21x-29x=-56 | | 5x+25=4x+30 | | 2z-21=-24+z | | -11+x=x+30 | | x=0.5+0.75y | | 3(4d+1)-9=6(2-d) | | 31-(2x+11)=2(x+5)+x | | 4x-y=10 | | 2x^2+10x+8=0 | | 10x^3(x-5)-5x(x-5)= | | 2.3(x+1.4)=9.666 | | 3g-8=5g-20 |

Equations solver categories