5(x+7)+x=3(x+3)+2

Simple and best practice solution for 5(x+7)+x=3(x+3)+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 5(x+7)+x=3(x+3)+2 equation:


Simplifying
5(x + 7) + x = 3(x + 3) + 2

Reorder the terms:
5(7 + x) + x = 3(x + 3) + 2
(7 * 5 + x * 5) + x = 3(x + 3) + 2
(35 + 5x) + x = 3(x + 3) + 2

Combine like terms: 5x + x = 6x
35 + 6x = 3(x + 3) + 2

Reorder the terms:
35 + 6x = 3(3 + x) + 2
35 + 6x = (3 * 3 + x * 3) + 2
35 + 6x = (9 + 3x) + 2

Reorder the terms:
35 + 6x = 9 + 2 + 3x

Combine like terms: 9 + 2 = 11
35 + 6x = 11 + 3x

Solving
35 + 6x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
35 + 6x + -3x = 11 + 3x + -3x

Combine like terms: 6x + -3x = 3x
35 + 3x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
35 + 3x = 11 + 0
35 + 3x = 11

Add '-35' to each side of the equation.
35 + -35 + 3x = 11 + -35

Combine like terms: 35 + -35 = 0
0 + 3x = 11 + -35
3x = 11 + -35

Combine like terms: 11 + -35 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

See similar equations:

| 40n=35 | | 11=y+12 | | 0.1x-3.5=0.4(x-5) | | 12+2m+17+(-4m)= | | 15-3x=7x-17 | | 22-(x+7)=8x-3 | | 12n=8 | | 6+2(z-3)=-3z+3 | | y=-3x+7 | | -3(x+5)+5=5(x+4)+3 | | 5x+2(7-x)=9-(4x+2) | | r^2+7r=0 | | 5(x-7)+7=2(x-5) | | 15x-5y=1.2 | | 6x-5=40 | | 3x+7=2x-7 | | -1.1k=-1.21 | | -2-13=9x+14-8x | | 0.1x-0.3(5-x)=-0.1 | | (-12+5)(2+5)= | | 7x^2+9x-10=0 | | 0.1x-0.3(5-x)=0.1 | | 5+2(4n+3)-n= | | 4x-3.9a=6.2 | | 9x=3(8x+20) | | 3x-12=-5x+3 | | 126=14k | | 4x-30=x+9 | | 8x-2(8-x)=17 | | x^2+6x+10=1 | | 4p^2+12p+9=0 | | -13x-3=23 |

Equations solver categories