5(x+1)+3x+2=8(x+2)+2x+1

Simple and best practice solution for 5(x+1)+3x+2=8(x+2)+2x+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 5(x+1)+3x+2=8(x+2)+2x+1 equation:


Simplifying
5(x + 1) + 3x + 2 = 8(x + 2) + 2x + 1

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

Reorder the terms:
5 + 2 + 5x + 3x = 8(x + 2) + 2x + 1

Combine like terms: 5 + 2 = 7
7 + 5x + 3x = 8(x + 2) + 2x + 1

Combine like terms: 5x + 3x = 8x
7 + 8x = 8(x + 2) + 2x + 1

Reorder the terms:
7 + 8x = 8(2 + x) + 2x + 1
7 + 8x = (2 * 8 + x * 8) + 2x + 1
7 + 8x = (16 + 8x) + 2x + 1

Reorder the terms:
7 + 8x = 16 + 1 + 8x + 2x

Combine like terms: 16 + 1 = 17
7 + 8x = 17 + 8x + 2x

Combine like terms: 8x + 2x = 10x
7 + 8x = 17 + 10x

Solving
7 + 8x = 17 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
7 + 8x + -10x = 17 + 10x + -10x

Combine like terms: 8x + -10x = -2x
7 + -2x = 17 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -2x = 17 + 0
7 + -2x = 17

Add '-7' to each side of the equation.
7 + -7 + -2x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 17 + -7
-2x = 17 + -7

Combine like terms: 17 + -7 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

See similar equations:

| -11(B-8)=-3B-5(3B-12) | | 5.6n-7.3=-6.3+6.1n | | -3x+2=-1x+4 | | 2.5x+3=2x | | w+10=8 | | 26=-8(t+2)-6t | | -20-5d=-4d-9 | | 9*9*9*9*9*9*9*9*9*9*9*9*9*9= | | 3.1s=-19.22 | | 9+a+2+(-7a)= | | -4.8=3.2d | | 7x+y=1 | | -10u+1-3u=-12u+6 | | 4x-4=2x+6 | | 3(4+7f)=-27 | | 2b+-8+4b+-6b= | | 13(5)= | | -5-(m)=92 | | 7x+6=3x-14 | | 8z-7=3z-7+52 | | 5+7j=5j-7 | | x^2+11x+3= | | 3-10w=10-9w | | 4x^2y-9xy+5y=0 | | 7x=-9+8x | | 22+(-14)=d | | -19+-11a+a+16= | | 4r+16r=120 | | 11x-6(x-5)=75 | | T+(-14)=d | | 22+(-14)=8 | | 4p^2=81 |

Equations solver categories