3(x-7)=2(x-6)

Simple and best practice solution for 3(x-7)=2(x-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 3(x-7)=2(x-6) equation:


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

Reorder the terms:
3(-7 + x) = 2(x + -6)
(-7 * 3 + x * 3) = 2(x + -6)
(-21 + 3x) = 2(x + -6)

Reorder the terms:
-21 + 3x = 2(-6 + x)
-21 + 3x = (-6 * 2 + x * 2)
-21 + 3x = (-12 + 2x)

Solving
-21 + 3x = -12 + 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.
-21 + 3x + -2x = -12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-21 + 1x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 1x = -12 + 0
-21 + 1x = -12

Add '21' to each side of the equation.
-21 + 21 + 1x = -12 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = -12 + 21
1x = -12 + 21

Combine like terms: -12 + 21 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

See similar equations:

| 1x=68 | | 14x-9+3x-4=13x-2+3x | | x^2-16x=-6x | | 18.50=351.50 | | 4(2m-1)-3=2(4m-1)-(2-m) | | -8(t+9)-5(-3t-2)=6(t-9)+5 | | 9x+4y-3=0 | | 9(w-4)-(-2w-5)=10w | | -9(n-7)=-8-6 | | 3z+10-z=8+z-6 | | 8z+7-6z=8+z-8 | | 7(c-9)=6c-5 | | 6x^2-8xy-150=0 | | X-1+X+3=2 | | 4x-3-x-6+2x-4= | | 6x^2+15y^2+12x*y-150=0 | | 6*x^2+15*x+3=0 | | 8a=-10a^2+1 | | 5[x+3]-2x=-7 | | 2ax^2-a^2x+3=0 | | -8n+16=-4n-4 | | 2x+4x+8+5x=3x+2+5x+11 | | (8x+9)(2x-5)=0 | | X^2-3xb+5=0 | | 1.5d+3.25=1+22.5d | | 20-14=3(x-9) | | lnx+ln(x+6)=9 | | 0.25y+y=0.25 | | m-5n=-14 | | X^2-10x=119 | | 70-52x=-x^2 | | 5m-n=26 |

Equations solver categories