4(x+2)=7(x-1)+6

Simple and best practice solution for 4(x+2)=7(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 4(x+2)=7(x-1)+6 equation:


Simplifying
4(x + 2) = 7(x + -1) + 6

Reorder the terms:
4(2 + x) = 7(x + -1) + 6
(2 * 4 + x * 4) = 7(x + -1) + 6
(8 + 4x) = 7(x + -1) + 6

Reorder the terms:
8 + 4x = 7(-1 + x) + 6
8 + 4x = (-1 * 7 + x * 7) + 6
8 + 4x = (-7 + 7x) + 6

Reorder the terms:
8 + 4x = -7 + 6 + 7x

Combine like terms: -7 + 6 = -1
8 + 4x = -1 + 7x

Solving
8 + 4x = -1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 4x + -7x = -1 + 7x + -7x

Combine like terms: 4x + -7x = -3x
8 + -3x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -3x = -1 + 0
8 + -3x = -1

Add '-8' to each side of the equation.
8 + -8 + -3x = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -1 + -8
-3x = -1 + -8

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

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

Simplifying
x = 3

See similar equations:

| 4.7x-4.2-3.3x=0.7(2x-6) | | 7y-9=9y+7 | | 18.43+x=123.4 | | 20x+13=27x+10 | | x+(x+1)=3(x+2) | | 9x-(2x+11)=31 | | 8x^3=18x | | 13x+20=10x+27 | | 21+y=31.64 | | 5(y+2)-y=42 | | 2m^3+14m^2+14m+49=0 | | x+12=-7 | | -2i(6-2i)=a+bi | | x-3y=-8 | | -2i(6-2i)= | | 8(7y-5)-(7y+5)= | | (x+2)(12x-5)=12-5x | | (x+6)2+28=(x+8)2 | | 2(9x-4)+10x= | | 5n-2n+12=35-4n-9 | | 6x=x+9 | | -5*18=c | | -3n+4n-2n=5 | | -2d-4d+18=60 | | 2x-9=3x-5 | | 4*-13=x | | 3(2x-1)+5=6(x-1) | | 6x-36+18x= | | 3x+7=43 | | x+(x-2)=20 | | X^2-8+20=0 | | 0.2b-0.3=0.1 |

Equations solver categories