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

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


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

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

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

Combine like terms: -2 + -15 = -17
-17 + -2x + 6x = 5(3x + -2) + -2(x + -1)

Combine like terms: -2x + 6x = 4x
-17 + 4x = 5(3x + -2) + -2(x + -1)

Reorder the terms:
-17 + 4x = 5(-2 + 3x) + -2(x + -1)
-17 + 4x = (-2 * 5 + 3x * 5) + -2(x + -1)
-17 + 4x = (-10 + 15x) + -2(x + -1)

Reorder the terms:
-17 + 4x = -10 + 15x + -2(-1 + x)
-17 + 4x = -10 + 15x + (-1 * -2 + x * -2)
-17 + 4x = -10 + 15x + (2 + -2x)

Reorder the terms:
-17 + 4x = -10 + 2 + 15x + -2x

Combine like terms: -10 + 2 = -8
-17 + 4x = -8 + 15x + -2x

Combine like terms: 15x + -2x = 13x
-17 + 4x = -8 + 13x

Solving
-17 + 4x = -8 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-17 + 4x + -13x = -8 + 13x + -13x

Combine like terms: 4x + -13x = -9x
-17 + -9x = -8 + 13x + -13x

Combine like terms: 13x + -13x = 0
-17 + -9x = -8 + 0
-17 + -9x = -8

Add '17' to each side of the equation.
-17 + 17 + -9x = -8 + 17

Combine like terms: -17 + 17 = 0
0 + -9x = -8 + 17
-9x = -8 + 17

Combine like terms: -8 + 17 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1

See similar equations:

| Z+5=15 | | (62x+47y)-(4x-23y)= | | 4v^2-10v=-4 | | (8-7i)(5-2i)= | | -5a(a-1)(3a+2)=0 | | 2y(-x+4)=-2x+8 | | 24-10=18x-4 | | 2.66666667x+5=1.66666667x+12 | | 4v^2-10v=4 | | .3-w=.8-.6w | | 0.25(16+4s)-0.5(8+2s)= | | m+5m-9m+8= | | (3x+y-2)dx+(3x+y+4)dy=0 | | a^2=(x+22)(x+18) | | 11x+9=9x+12 | | 3x+10cm=8x-15cm | | x+3x-x+10= | | -2n+(9-10n)= | | 96=16t^2-16t | | 8+3(x-9)=1-2(x-6) | | Y=3(2.5)+2 | | n^2+7n+10=10 | | (3x+6)(4x-5)= | | ex=7.25 | | y=3m+3x | | Y^2(y+-5)=2y+2 | | log(2)*x= | | 2+4x^2-10x=3 | | 5=-13W | | 6x-10=8x-20 | | e^2(2x^2+3x^3)=0 | | 2(x+2)-3=-7 |

Equations solver categories