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

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


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

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

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

Reorder the terms:
4 + 2x = -5 + -6 + 5x

Combine like terms: -5 + -6 = -11
4 + 2x = -11 + 5x

Solving
4 + 2x = -11 + 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.
4 + 2x + -5x = -11 + 5x + -5x

Combine like terms: 2x + -5x = -3x
4 + -3x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -3x = -11 + 0
4 + -3x = -11

Add '-4' to each side of the equation.
4 + -4 + -3x = -11 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -11 + -4
-3x = -11 + -4

Combine like terms: -11 + -4 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

See similar equations:

| 7(3n+4)=9(4n+7)+4 | | x+5+x=x+7+x+4+x+11 | | 18x-(8x-6)=46 | | 2x+44-3x=3-4x+5 | | 62(z-59)=z+81 | | -8(-8x-6)=16x-22 | | 2a-20.7=a+1.3 | | 21(4+3x)=336 | | 6x^2=6x-39 | | 6t-12t-2t= | | W+w+5w= | | 12+4(z-3)=-3z+5 | | -16x^2+96x-108=0 | | 21+4+3x=336 | | -16x+96x-108=0 | | 2x+5=-6x-11 | | 4x-28=3x+11 | | -5-(-7)-2-(-13)= | | y=1.2x+2.4 | | 6(x+8)=8+5x | | 128x-y=16 | | 9n^2+24n+12=0 | | M=4rt | | d^2ca=b^4c^3a^2 | | 1x+4=-1-4 | | 6(x+7)=11 | | 21x-7=5(4x-3)-8 | | -4(0.50)+4(0.50)=12 | | AB+BC=c | | j+(3j)+(2j)=210 | | j+(3j)+(2j)= | | -4x+4(0.5)=12 |

Equations solver categories