The solution for each equation is as follows:
1) Combining like terms in the equation X+3x=20:
X + 3x = 20
4x = 20
Divide by 4 on both sides:
x = 5
2) Solving the equation x+(x-20)+3x=180:
x + (x-20) + 3x = 180
5x - 20 = 180
Add 20 to both sides:
5x = 200
Divide by 5 on both sides:
x = 40
3) Simplifying the equation 3(x+20)-4x=10:
3(x+20) - 4x = 10
3x + 60 - 4x = 10
Combine like terms:
-x + 60 = 10
Subtract 60 from both sides:
-x = -50
Multiply by -1 on both sides:
x = 50
Therefore, the solutions for the given equations are x = 5, x = 40, and x = 50.
The solution for each equation is as follows:
1) Combining like terms in the equation X+3x=20:
X + 3x = 20
4x = 20
Divide by 4 on both sides:
x = 5
2) Solving the equation x+(x-20)+3x=180:
x + (x-20) + 3x = 180
5x - 20 = 180
Add 20 to both sides:
5x = 200
Divide by 5 on both sides:
x = 40
3) Simplifying the equation 3(x+20)-4x=10:
3(x+20) - 4x = 10
3x + 60 - 4x = 10
Combine like terms:
-x + 60 = 10
Subtract 60 from both sides:
-x = -50
Multiply by -1 on both sides:
x = 50
Therefore, the solutions for the given equations are x = 5, x = 40, and x = 50.