2(x+3)-3(5x-4)=6(x+1)-3(5x-2)

Simple and best practice solution for 2(x+3)-3(5x-4)=6(x+1)-3(5x-2) 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 2(x+3)-3(5x-4)=6(x+1)-3(5x-2) equation:


Simplifying
2(x + 3) + -3(5x + -4) = 6(x + 1) + -3(5x + -2)

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

Reorder the terms:
6 + 2x + -3(-4 + 5x) = 6(x + 1) + -3(5x + -2)
6 + 2x + (-4 * -3 + 5x * -3) = 6(x + 1) + -3(5x + -2)
6 + 2x + (12 + -15x) = 6(x + 1) + -3(5x + -2)

Reorder the terms:
6 + 12 + 2x + -15x = 6(x + 1) + -3(5x + -2)

Combine like terms: 6 + 12 = 18
18 + 2x + -15x = 6(x + 1) + -3(5x + -2)

Combine like terms: 2x + -15x = -13x
18 + -13x = 6(x + 1) + -3(5x + -2)

Reorder the terms:
18 + -13x = 6(1 + x) + -3(5x + -2)
18 + -13x = (1 * 6 + x * 6) + -3(5x + -2)
18 + -13x = (6 + 6x) + -3(5x + -2)

Reorder the terms:
18 + -13x = 6 + 6x + -3(-2 + 5x)
18 + -13x = 6 + 6x + (-2 * -3 + 5x * -3)
18 + -13x = 6 + 6x + (6 + -15x)

Reorder the terms:
18 + -13x = 6 + 6 + 6x + -15x

Combine like terms: 6 + 6 = 12
18 + -13x = 12 + 6x + -15x

Combine like terms: 6x + -15x = -9x
18 + -13x = 12 + -9x

Solving
18 + -13x = 12 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
18 + -13x + 9x = 12 + -9x + 9x

Combine like terms: -13x + 9x = -4x
18 + -4x = 12 + -9x + 9x

Combine like terms: -9x + 9x = 0
18 + -4x = 12 + 0
18 + -4x = 12

Add '-18' to each side of the equation.
18 + -18 + -4x = 12 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 12 + -18
-4x = 12 + -18

Combine like terms: 12 + -18 = -6
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

See similar equations:

| 5xy+21y+10x+50=0 | | 2x+5+x=28 | | x+11.9=26.6 | | 5c+2(c-3x)-7+6(x+c)=97 | | 14y=55 | | 6xn/6 | | 53+X=76 | | (8x)+3=(2x)-1 | | 3(x+1)+5(2x-2)=3(3x-4) | | 64-4(-7)(-9)= | | 6w+6(w-2)=36 | | 3x+20=3x-20+x+20 | | r^3+4*r^2+14*r+20=0 | | y+39=4y | | 4m-7m=15 | | (2x)-12=(4+x)8 | | 1/2xplus13=9 | | 3*(5x-2)+4x=9x+6-2x | | 2(8y-8)-(2y+7)= | | y=X^2-69X-108 | | s=9+11 | | 11-4x=3-2x | | -2n+6=-2n+6 | | x(2)-16x=-63 | | 3.8+32-4.68-4= | | c^2+14c-13=0 | | 7=l-5 | | 10y=14 | | 8/9=x/18 | | 3(20-1y)+14y=203 | | X+93=17 | | (x+109)(x+89)=180 |

Equations solver categories