-6(x+2)+3(5x-7)=2(x-1)+3(x+1)

Simple and best practice solution for -6(x+2)+3(5x-7)=2(x-1)+3(x+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 -6(x+2)+3(5x-7)=2(x-1)+3(x+1) equation: 


Simplifying
-6(x + 2) + 3(5x + -7) = 2(x + -1) + 3(x + 1)

Reorder the terms:
-6(2 + x) + 3(5x + -7) = 2(x + -1) + 3(x + 1)
(2 * -6 + x * -6) + 3(5x + -7) = 2(x + -1) + 3(x + 1)
(-12 + -6x) + 3(5x + -7) = 2(x + -1) + 3(x + 1)

Reorder the terms:
-12 + -6x + 3(-7 + 5x) = 2(x + -1) + 3(x + 1)
-12 + -6x + (-7 * 3 + 5x * 3) = 2(x + -1) + 3(x + 1)
-12 + -6x + (-21 + 15x) = 2(x + -1) + 3(x + 1)

Reorder the terms:
-12 + -21 + -6x + 15x = 2(x + -1) + 3(x + 1)

Combine like terms: -12 + -21 = -33
-33 + -6x + 15x = 2(x + -1) + 3(x + 1)

Combine like terms: -6x + 15x = 9x
-33 + 9x = 2(x + -1) + 3(x + 1)

Reorder the terms:
-33 + 9x = 2(-1 + x) + 3(x + 1)
-33 + 9x = (-1 * 2 + x * 2) + 3(x + 1)
-33 + 9x = (-2 + 2x) + 3(x + 1)

Reorder the terms:
-33 + 9x = -2 + 2x + 3(1 + x)
-33 + 9x = -2 + 2x + (1 * 3 + x * 3)
-33 + 9x = -2 + 2x + (3 + 3x)

Reorder the terms:
-33 + 9x = -2 + 3 + 2x + 3x

Combine like terms: -2 + 3 = 1
-33 + 9x = 1 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-33 + 9x = 1 + 5x

Solving
-33 + 9x = 1 + 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.
-33 + 9x + -5x = 1 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-33 + 4x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-33 + 4x = 1 + 0
-33 + 4x = 1

Add '33' to each side of the equation.
-33 + 33 + 4x = 1 + 33

Combine like terms: -33 + 33 = 0
0 + 4x = 1 + 33
4x = 1 + 33

Combine like terms: 1 + 33 = 34
4x = 34

Divide each side by '4'.
x = 8.5

Simplifying
x = 8.5

See similar equations:

| Z-10=-9 | | 6(x-1)=-70 | | 7(2x-7)+8=85 | | 11(x-5)=10(x-15) | | 7+m=-8 | | 5(4b+8)=40 | | 46=47+-5x | | 2x-8=-4 | | 12x+6=11x-6 | | x+x+0.3+x-0.2=25 | | 7y=-441 | | 4cos^2x+cosx-1=0 | | 4x+4x+x+30+5x-25=180 | | Z-(-4)=-9 | | 7x+2(4x-6)=18+x | | -5(-x-1)-2(4-x)-3=2(x-1) | | 40+6y=6y | | 8x+y=-400 | | 8x+x+30+5x-25=180 | | 14x-7x+3-3x+8=31 | | 4a-3n=8 | | 5x-4=x+36 | | 0.1y+9=2 | | 3x^2-40x+60=0 | | 3x-8(4-7x)=27 | | -(x-4)-2(x+5)=-3-(2x+4) | | 6-2.3x-2.7=21 | | n(n-1)(n+1)=3360 | | lx-5l=18 | | 3+6r-2=9r+10-4r | | 4(2x+3)-8=28 | | x(7)=18 |

Equations solver categories