3(x-2)-4=2(x-1)-2

Simple and best practice solution for 3(x-2)-4=2(x-1)-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 3(x-2)-4=2(x-1)-2 equation:


Simplifying
3(x + -2) + -4 = 2(x + -1) + -2

Reorder the terms:
3(-2 + x) + -4 = 2(x + -1) + -2
(-2 * 3 + x * 3) + -4 = 2(x + -1) + -2
(-6 + 3x) + -4 = 2(x + -1) + -2

Reorder the terms:
-6 + -4 + 3x = 2(x + -1) + -2

Combine like terms: -6 + -4 = -10
-10 + 3x = 2(x + -1) + -2

Reorder the terms:
-10 + 3x = 2(-1 + x) + -2
-10 + 3x = (-1 * 2 + x * 2) + -2
-10 + 3x = (-2 + 2x) + -2

Reorder the terms:
-10 + 3x = -2 + -2 + 2x

Combine like terms: -2 + -2 = -4
-10 + 3x = -4 + 2x

Solving
-10 + 3x = -4 + 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.
-10 + 3x + -2x = -4 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-10 + 1x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 1x = -4 + 0
-10 + 1x = -4

Add '10' to each side of the equation.
-10 + 10 + 1x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -4 + 10
1x = -4 + 10

Combine like terms: -4 + 10 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

See similar equations:

| 2n+5n-19n=11x+8x | | 28+3n-10n=5n | | 6+7x-5x=2 | | 3w-7+w=5 | | 5y+4-2y=16 | | 14x-8y=0 | | w^3+1331=0 | | b^4+61b^2+60=0 | | 7(x-3)=-9(x+2)+19 | | -8=-3(x-2)+7(x-6) | | -2(2s-5)-10=-2(5s+6)-3 | | 7(y-3)+3(y+4)=11 | | 6(y-4)+4(y+2)=24 | | -2(3x+1)=-3-4x | | 12w+15w-9+5=-3w+-9 | | -5(2y-1)+5y=-40 | | 6x+8y=10 | | -6(3x+1)+4x=92 | | 42=-6(5y+3) | | y=45x+4500 | | -20x-15=65 | | 28x+4y=24 | | 2m+6m=-24 | | (3x+2)2=49 | | 2k+2=k-3 | | 5-x-c=-1 | | 3(x-4)=11 | | 3(x-9)=11 | | -4x-8=24 | | 5x+1=81 | | 12x^2+9=0 | | 5(3x-2x)=36+3*2 |

Equations solver categories