The single-variable equation with at least ten terms is 7x - 0.5x + 1/2x + 27 + 29 = 17x - x + 10 - 3 + 9, and the solution is x = 5
<h3>How to create the single variable equation?</h3>
Let the variable of the equation be x.
The rules in the question are:
- The number of terms is 10;
- At least one variable term must have a fractional coefficient
- At least one variable term must be non integer decimal coefficient
- At least one variable term must be negative
So, the equation must take the form
ax + bx + cx + f + g = dx + ex + h + i + j +k
So, we have:
7x - 0.5x + 1/2x + 27 + 29 = 17x - x + 10 - 3 + 9
Evaluate the constant terms
7x - 0.5x + 1/2x + 56 = 17x - x + 16
Evaluate the variable terms
8x + 56 = 16x + 16
Apply the distributive property
8(x + 7) = 16(x + 1)
Divide through by 4
2(x + 7) = 4(x + 1)
Expand
2x + 14 = 4x + 4
Apply the distributive property
2(x + 7) = 4(x + 1)
Divide through by 2
x + 7 = 2(x + 1)
Expand
x + 7 = 2x + 2
Collect like terms
2x - x = 7 - 2
Evaluate
x = 5
Read more about equations at:
brainly.com/question/2972832
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