7(x+1)=8(x-2)

Simple and best practice solution for 7(x+1)=8(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 7(x+1)=8(x-2) equation:


Simplifying
7(x + 1) = 8(x + -2)

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

Reorder the terms:
7 + 7x = 8(-2 + x)
7 + 7x = (-2 * 8 + x * 8)
7 + 7x = (-16 + 8x)

Solving
7 + 7x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + 7x + -8x = -16 + 8x + -8x

Combine like terms: 7x + -8x = -1x
7 + -1x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -1x = -16 + 0
7 + -1x = -16

Add '-7' to each side of the equation.
7 + -7 + -1x = -16 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -16 + -7
-1x = -16 + -7

Combine like terms: -16 + -7 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

See similar equations:

| 10+4x+8=7x | | 9x1/4 | | -7j=j^2 | | 1/3(1/3) | | -1+3(5x+7)=37-2x | | -4.5(6.5h-7.5)=17.5+2.5h | | 950=4/3•3.14r^3 | | 6a+5=15 | | 5-3n=n-1 | | 81-98/49*7-6 | | (6y-4)/5 | | 5r+10=8(3r+6) | | 100-49xsquared=0 | | f(6)=7x^2+6x-8 | | 3g+6+2g=1515 | | f(6)f(x)=7x^2+6x-8 | | 25x=10x+45 | | -2(-n+3)=-2+3n | | 8(5-3/4)-20=6 | | -2.5(1-8.5k)=25.5 | | -k/6=r/50 | | 6x+48y=120 | | 7x-25x= | | 1.04[x]=200 | | -8(5-3n)=6n-22 | | x+10.50-x=30(10.50) | | 47+43=19 | | 7=(3.5x)(3.5x) | | 095x^2+20x+60=0 | | 5+3.5(1+2.5z)=-15.5 | | 0.4x+3.2=3x-7 | | 5=1/2y |

Equations solver categories