3(2x-1)-5(x+4)=-2(3x+1)

Simple and best practice solution for 3(2x-1)-5(x+4)=-2(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(2x-1)-5(x+4)=-2(3x+1) equation:


Simplifying
3(2x + -1) + -5(x + 4) = -2(3x + 1)

Reorder the terms:
3(-1 + 2x) + -5(x + 4) = -2(3x + 1)
(-1 * 3 + 2x * 3) + -5(x + 4) = -2(3x + 1)
(-3 + 6x) + -5(x + 4) = -2(3x + 1)

Reorder the terms:
-3 + 6x + -5(4 + x) = -2(3x + 1)
-3 + 6x + (4 * -5 + x * -5) = -2(3x + 1)
-3 + 6x + (-20 + -5x) = -2(3x + 1)

Reorder the terms:
-3 + -20 + 6x + -5x = -2(3x + 1)

Combine like terms: -3 + -20 = -23
-23 + 6x + -5x = -2(3x + 1)

Combine like terms: 6x + -5x = 1x
-23 + 1x = -2(3x + 1)

Reorder the terms:
-23 + 1x = -2(1 + 3x)
-23 + 1x = (1 * -2 + 3x * -2)
-23 + 1x = (-2 + -6x)

Solving
-23 + 1x = -2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-23 + 1x + 6x = -2 + -6x + 6x

Combine like terms: 1x + 6x = 7x
-23 + 7x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-23 + 7x = -2 + 0
-23 + 7x = -2

Add '23' to each side of the equation.
-23 + 23 + 7x = -2 + 23

Combine like terms: -23 + 23 = 0
0 + 7x = -2 + 23
7x = -2 + 23

Combine like terms: -2 + 23 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

See similar equations:

| 29x-12x^2=78 | | 9x^2=12-4 | | 4a-1/7=5/7 | | (1.00012)365t=2.4 | | 9x(x-8)=14x^2-73x | | 8y-3=y+9 | | (1.02)4t=3 | | 380/195 | | 2x+3r=8.75 | | 7x^2+11=242 | | 10+3x=55 | | 53-x=12 | | 10/7x+10=-3/8x+3 | | 5xy-6xy^3= | | 3x+y=68 | | 14x^2+6x-8= | | 14x^2-24x-8= | | -3x^2+3x+7=0 | | c=2.76(12)+14.53 | | c=2.76(9)+14.53 | | 5=2+12x | | 3x+(6-10)=11 | | sqrt(x-7)+5=9 | | c=2.76(3)+14.53 | | 7.84=2*3.14r | | 5z=1.3+4.2 | | -4x^2+6x+5=0 | | -0.6x=-18 | | c=2.34(3)+15.93 | | -6-11=8x+17-7x | | 0.1(0.1x+0.3)=-0.4 | | x-0.6=6.3 |

Equations solver categories