1) To solve the equation 0,6x - 5,4 = -0,8x + 5,8, first,
add 0,8x to both sides to get:
0,6x + 0,8x - 5,4 = 5,8
Simplify this to get:
1,4x - 5,4 = 5,8
Now, add 5,4 to both sides to get:
1,4x = 11,2
Finally, divide by 1,4 to solve for x:
x = 11,2 / 1,4 = 8
So, x = 8
2) To solve the equation 4,7 - 1,1x = 0,5x - 3,3, first,
add 1,1x to both sides to get:
4,7 = 1,1x + 0,5x - 3,3
4,7 = 1,6x - 3,3
Now, add 3,3 to both sides to get:
8 = 1,6x
Finally, divide by 1,6 to solve for x:
x = 8 / 1,6 = 5
So, x = 5
3) To solve the equation 5,6x + 16 = 4,9x + 9, first,
subtract 4,9x from both sides to get:
5,6x - 4,9x + 16 = 9
0,7x + 16 = 9
Now, subtract 16 from both sides to get:
0,7x = -7
Finally, divide by 0,7 to solve for x:
x = -7 / 0,7 = -10
So, x = -10
1) To solve the equation 0,6x - 5,4 = -0,8x + 5,8, first,
add 0,8x to both sides to get:
0,6x + 0,8x - 5,4 = 5,8
Simplify this to get:
1,4x - 5,4 = 5,8
Now, add 5,4 to both sides to get:
1,4x = 11,2
Finally, divide by 1,4 to solve for x:
x = 11,2 / 1,4 = 8
So, x = 8
2) To solve the equation 4,7 - 1,1x = 0,5x - 3,3, first,
add 1,1x to both sides to get:
4,7 = 1,1x + 0,5x - 3,3
Simplify this to get:
4,7 = 1,6x - 3,3
Now, add 3,3 to both sides to get:
8 = 1,6x
Finally, divide by 1,6 to solve for x:
x = 8 / 1,6 = 5
So, x = 5
3) To solve the equation 5,6x + 16 = 4,9x + 9, first,
subtract 4,9x from both sides to get:
5,6x - 4,9x + 16 = 9
Simplify this to get:
0,7x + 16 = 9
Now, subtract 16 from both sides to get:
0,7x = -7
Finally, divide by 0,7 to solve for x:
x = -7 / 0,7 = -10
So, x = -10