To solve this equation, first distribute the coefficients:
2(x) + 2(21) + 3(x) - 3(4) = 5(x) + 5(6)
Simplify:
2x + 42 + 3x - 12 = 5x + 30
Combine like terms:
5x + 30 = 5x + 30
Now, subtract 5x from both sides to get:
5x - 5x + 30 = 5x - 5x + 30
30 = 30
Since both sides of the equation are the same, this equation is an identity. This means that there are infinitely many solutions to this equation.
To solve this equation, first distribute the coefficients:
2(x) + 2(21) + 3(x) - 3(4) = 5(x) + 5(6)
Simplify:
2x + 42 + 3x - 12 = 5x + 30
Combine like terms:
5x + 30 = 5x + 30
Now, subtract 5x from both sides to get:
5x - 5x + 30 = 5x - 5x + 30
30 = 30
Since both sides of the equation are the same, this equation is an identity. This means that there are infinitely many solutions to this equation.