14+2m = 4m - 16 (no multiple choice)
I don't understand it
4(x +2) = 14 - 2(3 - 4x) (no multiple choice)
Eight subtracted from 4 times a number is equal to 4 less than 6 times the number. (not multiple choice)
my answer is 8x - 4 = 4x - 6
14+2m = 4m - 16
Combine like terms.
14 + 16 = 4m - 2m
30 = 2m
15 = m
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You try the next one.
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The last one:
4x - 8 = 6x - 4
14+2m = 4m - 16
subtract 2 m both sides
14 = 2 m - 16
add 16 both sides
30 = 2 m
multiply both sides by (1/2)
15 = m
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4(x +2) = 14 - 2(3 - 4x)
4 x + 8 = 14 - 6 + 8 x
8 + 6 = 14 + 4 x
0 = 4 x
x = 0
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Eight subtracted from 4 times a number is equal to 4 less than 6 times the number. (not multiple choice)
my answer is 8x - 4 = 4x - 6
Hummm
mine is
4 x - 8 = 6 x - 4
-4 = 2 x
x = -2
To solve the equations you provided, we need to isolate the variable on one side of the equation.
1. 14 + 2m = 4m - 16:
Start by simplifying both sides of the equation. Combine like terms on each side:
14 + 2m = 4m - 16
Reorder the equation to have all terms containing the variable on one side:
2m - 4m = -16 - 14
Simplify the equation further:
-2m = -30
Now, to isolate the variable 'm' on one side, we need to get rid of the coefficient -2. We do this by dividing both sides of the equation by -2:
-2m / -2 = -30 / -2
m = 15
So the solution to this equation is m = 15.
2. 4(x + 2) = 14 - 2(3 - 4x):
Let's simplify both sides of the equation:
4(x + 2) = 14 - 2(3 - 4x)
Start by simplifying the expression on the left side using the distributive property:
4x + 8 = 14 - 6 + 8x
Combine like terms on each side:
4x + 8 = 8x + 8
Now, let's isolate the variable 'x' on one side of the equation. Subtract 4x from both sides:
4x - 4x + 8 = 8x - 4x + 8
8 = 4x + 8
Next, subtract 8 from both sides:
8 - 8 = 4x + 8 - 8
0 = 4x
Divide both sides by 4:
0/4 = 4x/4
0 = x
So the solution to this equation is x = 0.
3. Eight subtracted from 4 times a number is equal to 4 less than 6 times the number.
Let's represent the unknown number with 'x'. The equation can be written as:
4x - 8 = 6x - 4
To solve for 'x', we need to isolate it on one side of the equation. Start by subtracting 4x from both sides:
4x - 4x - 8 = 6x - 4 - 4x
-8 = 2x - 4
Next, add 8 to both sides of the equation:
-8 + 8 = 2x - 4 + 8
0 = 2x + 4
To isolate 'x', subtract 4 from both sides:
0 - 4 = 2x + 4 - 4
-4 = 2x
Finally, divide both sides by 2:
-4/2 = 2x/2
-2 = x
So the solution to this equation is x = -2.
Your answer of 8x - 4 = 4x - 6 is incorrect for the third equation. The correct solution is x = -2.