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

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


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

Reorder the terms:
2(-5 + 4x) + 1 = (4x + -1) + -3(x + -2)
(-5 * 2 + 4x * 2) + 1 = (4x + -1) + -3(x + -2)
(-10 + 8x) + 1 = (4x + -1) + -3(x + -2)

Reorder the terms:
-10 + 1 + 8x = (4x + -1) + -3(x + -2)

Combine like terms: -10 + 1 = -9
-9 + 8x = (4x + -1) + -3(x + -2)

Reorder the terms:
-9 + 8x = (-1 + 4x) + -3(x + -2)

Remove parenthesis around (-1 + 4x)
-9 + 8x = -1 + 4x + -3(x + -2)

Reorder the terms:
-9 + 8x = -1 + 4x + -3(-2 + x)
-9 + 8x = -1 + 4x + (-2 * -3 + x * -3)
-9 + 8x = -1 + 4x + (6 + -3x)

Reorder the terms:
-9 + 8x = -1 + 6 + 4x + -3x

Combine like terms: -1 + 6 = 5
-9 + 8x = 5 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-9 + 8x = 5 + 1x

Solving
-9 + 8x = 5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 8x + -1x = 5 + 1x + -1x

Combine like terms: 8x + -1x = 7x
-9 + 7x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
-9 + 7x = 5 + 0
-9 + 7x = 5

Add '9' to each side of the equation.
-9 + 9 + 7x = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 5 + 9
7x = 5 + 9

Combine like terms: 5 + 9 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

See similar equations:

| -3x+4=2x-1 | | 7+2(3-4x)=7x+2(3x-4) | | y=2x-15 | | 5(x-7)+x=6(x-8)+13 | | 4x-9y=36 | | 163-3x=33x+15 | | 58=X-42 | | 4(2x-2)=8(x-1) | | 2x+3(x-2)=4x-23+2x | | -86-10x=7x+16 | | 7b^2-50b-48=0 | | 2x+(x-2)=4x-23+2x | | 8X=112 | | (6x+11)+(3x+2)+(5x-1)=180 | | 6x+9=3(x+7) | | 4y^4-36x^6=0 | | 7x-2(x-2)=-3+7x+9 | | 16(2x-9)=4(8x+3) | | 3n^2-18n-81=0 | | 71-5n=9n-13 | | 63-7x=29x+19 | | (4x+3)-(5x-2)+17x+5-x=0 | | 137-6x=5x+16 | | X-44=67 | | 6x+28=8x+-6 | | -2p+8=5-(4p+6) | | 5x+8(1-x)=17 | | 30=7y-6y+3 | | 174=X+92 | | 2x+14=-5 | | 3y-4+y+30=8+6y+22-4y | | 6x+28=8x-6 |

Equations solver categories