7(x-6)+13=2(x-7)

Simple and best practice solution for 7(x-6)+13=2(x-7) 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-6)+13=2(x-7) equation:


Simplifying
7(x + -6) + 13 = 2(x + -7)

Reorder the terms:
7(-6 + x) + 13 = 2(x + -7)
(-6 * 7 + x * 7) + 13 = 2(x + -7)
(-42 + 7x) + 13 = 2(x + -7)

Reorder the terms:
-42 + 13 + 7x = 2(x + -7)

Combine like terms: -42 + 13 = -29
-29 + 7x = 2(x + -7)

Reorder the terms:
-29 + 7x = 2(-7 + x)
-29 + 7x = (-7 * 2 + x * 2)
-29 + 7x = (-14 + 2x)

Solving
-29 + 7x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-29 + 7x + -2x = -14 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-29 + 5x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-29 + 5x = -14 + 0
-29 + 5x = -14

Add '29' to each side of the equation.
-29 + 29 + 5x = -14 + 29

Combine like terms: -29 + 29 = 0
0 + 5x = -14 + 29
5x = -14 + 29

Combine like terms: -14 + 29 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

See similar equations:

| (5x^4+6x^3-7)-(9x^2-4x+2)= | | 3056899999-15000000x=3000000000 | | x^2-10x-400=386 | | x*1.96=42.80 | | 2x(4x-3)-5(4x-3)=0 | | -5x+3=-2(4x+12) | | f(x)=-3x^2+6x-7 | | (X-2)(x+4)=y | | 3d=3d+9 | | 12w-4= | | -32-5m=7m+8 | | 15x^2+11=86 | | 2-5Xw= | | 0.4(x-2)=9.2 | | 3x(2x+1)=2x+11 | | L=28+8k | | 2(6w-2)= | | 3w-2.4=1.8 | | 3x^3+3x^2+2x=0 | | w+w+5w+5w-2= | | 2m-4s=9 | | 75-9g=2(3-f) | | -3-x-x^2=0 | | 5(x+7)+2=-4(x-3)-11 | | Log[4x+9]=5 | | 7(x-7)-5=25x-108 | | 75-9g= | | 13/15//7/10 | | 4v+20-4=34 | | Log(4x+9)=5 | | x+x*19.6=4280 | | -16t^2+10t+26=0 |

Equations solver categories