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

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


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

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

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

Combine like terms: 4x + 3x = 7x
-6 + 7x = -5(x + -4)

Reorder the terms:
-6 + 7x = -5(-4 + x)
-6 + 7x = (-4 * -5 + x * -5)
-6 + 7x = (20 + -5x)

Solving
-6 + 7x = 20 + -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.
-6 + 7x + 5x = 20 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-6 + 12x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 12x = 20 + 0
-6 + 12x = 20

Add '6' to each side of the equation.
-6 + 6 + 12x = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 20 + 6
12x = 20 + 6

Combine like terms: 20 + 6 = 26
12x = 26

Divide each side by '12'.
x = 2.166666667

Simplifying
x = 2.166666667

See similar equations:

| 5=-2.7t^2+35t+7 | | 4a^2b-10ab-50b= | | 2m/3-4/3 | | 26=10+40t-16t^2 | | 210=2(7x+70) | | 0.5(X-2)(x-2)(x-2)(x-2)=0 | | (9y-5x+15a)+(-6y+8x-10a)= | | 12x-10+5=0 | | 6x-38=11x | | 31-x-2=-8 | | 13y=15y+14 | | 5x-3/4=-7 | | 2x-1+14=23 | | 4y+y=105 | | 5lnx= | | -3x-2x-2+7x-2=5x+5x-25-3-5x | | h(26)=10+40t-16t^2 | | 2n^3+3n^2+7n+6= | | -35y+75=48 | | T^6+4=10 | | 6x^3y-24xy= | | 11x+40=5x | | s/4=18 | | 38=-4+9a | | 3x^2=-288 | | 4x-3+5x-6= | | 10a^2b+45ab-175b= | | 6(8+3y)=-2(y-4) | | 2n^3+3n^2+6n+6= | | 6k+4=3 | | (4x-3)(5x-6)= | | 3(7x-3)-3x=27 |

Equations solver categories