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

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


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

Reorder the terms:
2(-5 + 3x) + 6(x + -3) = -3(4 + -5x) + 5x + -6
(-5 * 2 + 3x * 2) + 6(x + -3) = -3(4 + -5x) + 5x + -6
(-10 + 6x) + 6(x + -3) = -3(4 + -5x) + 5x + -6

Reorder the terms:
-10 + 6x + 6(-3 + x) = -3(4 + -5x) + 5x + -6
-10 + 6x + (-3 * 6 + x * 6) = -3(4 + -5x) + 5x + -6
-10 + 6x + (-18 + 6x) = -3(4 + -5x) + 5x + -6

Reorder the terms:
-10 + -18 + 6x + 6x = -3(4 + -5x) + 5x + -6

Combine like terms: -10 + -18 = -28
-28 + 6x + 6x = -3(4 + -5x) + 5x + -6

Combine like terms: 6x + 6x = 12x
-28 + 12x = -3(4 + -5x) + 5x + -6
-28 + 12x = (4 * -3 + -5x * -3) + 5x + -6
-28 + 12x = (-12 + 15x) + 5x + -6

Reorder the terms:
-28 + 12x = -12 + -6 + 15x + 5x

Combine like terms: -12 + -6 = -18
-28 + 12x = -18 + 15x + 5x

Combine like terms: 15x + 5x = 20x
-28 + 12x = -18 + 20x

Solving
-28 + 12x = -18 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-28 + 12x + -20x = -18 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-28 + -8x = -18 + 20x + -20x

Combine like terms: 20x + -20x = 0
-28 + -8x = -18 + 0
-28 + -8x = -18

Add '28' to each side of the equation.
-28 + 28 + -8x = -18 + 28

Combine like terms: -28 + 28 = 0
0 + -8x = -18 + 28
-8x = -18 + 28

Combine like terms: -18 + 28 = 10
-8x = 10

Divide each side by '-8'.
x = -1.25

Simplifying
x = -1.25

See similar equations:

| 0=16r^2+3r-9 | | y^3-512=0 | | -4+46=7(3t+6) | | -3(7n-8)=-144 | | x^2+y^2+30x+18y+297=0 | | -8*-18= | | 2x+5x=36 | | (5x-6)-(6x-4)=-1(-4+x)-4x+6 | | 4Y^2=18Y-2 | | 5x+2=90 | | -8x+(-28)-8x=-140 | | 4a-33=2a+15 | | x(20)=84 | | x^3+729=0 | | 5(x-1)+16(2x+3)=3(2x-1)-x | | 4(y+5)=21+4y | | 7.2x=21.6 | | 7x^2-45x+28=0 | | x(x+20)=84 | | 4x^2-4-8=0 | | k-2+4k=8 | | 7k^2+9k=0 | | 3x+4-5x=9+8x | | 10x^2-17x=0 | | 12a+1b=50 | | 2y+2=3y-9 | | 7x^2-31x-20=0 | | 4a-6b=96 | | 6(0.3333333333+-0.1666666667b)=3-b | | 6x^2+3x+24=3 | | 4a+6b=96 | | -1+3=x+2 |

Equations solver categories