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

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


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

Reorder the terms:
1 + 3(-5 + x) = 2 + -2(x + -2)
1 + (-5 * 3 + x * 3) = 2 + -2(x + -2)
1 + (-15 + 3x) = 2 + -2(x + -2)

Combine like terms: 1 + -15 = -14
-14 + 3x = 2 + -2(x + -2)

Reorder the terms:
-14 + 3x = 2 + -2(-2 + x)
-14 + 3x = 2 + (-2 * -2 + x * -2)
-14 + 3x = 2 + (4 + -2x)

Combine like terms: 2 + 4 = 6
-14 + 3x = 6 + -2x

Solving
-14 + 3x = 6 + -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.
-14 + 3x + 2x = 6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-14 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 5x = 6 + 0
-14 + 5x = 6

Add '14' to each side of the equation.
-14 + 14 + 5x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 6 + 14
5x = 6 + 14

Combine like terms: 6 + 14 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

See similar equations:

| -3(x-5)=x-1 | | 6k-1=7 | | 4x+32x+64= | | -2(5n+4)=6 | | 6(n+4)=48 | | 14x=2(3x-4) | | 14y-4=26-y | | 3(x+6)-12=x+6 | | s^2=-2 | | -18+18x=18 | | 3-4x=2(5x+5) | | 12(T-2)+6T=6(3T+4)-8 | | 1/2-8/3x=5/6 | | 3x^2+9x+12=0 | | x(2x-2)+x(3x-3)=(5x+7)(x-8) | | -n+6+n=2+7n+3 | | 3(x/12)-6=0 | | x^2=24x | | 9+3S-6=7S+11-3S | | 3.2+0.1x=3.7+0.6x | | 14y+-6=69+-1y | | 8u^3+26u^2-24u= | | 2/3x-4=1/2x-3 | | 8u^3+26u^2-24= | | 0.5x=0.2x-0.6 | | p=60-4p | | 3(2x-5)-12=-4(1x-2) | | h(t)=-2t^2+12t+6 | | 5i-(11-6i)= | | (6*3)t=4 | | 175000+550=220650 | | 2*4x=80 |

Equations solver categories