To solve for x, we can start by getting rid of the x term on one side of the equation.
4x + 8 = 3x - 10
We can subtract 3x from both sides to move the x terms to one side:
4x - 3x + 8 = 3x - 3x - 10
x + 8 = -10
Next, we can subtract 8 from both sides to isolate the x term:
x + 8 - 8 = -10 - 8
x = -18
Therefore, x = -18 is the solution.
Solve for x : 4x+8=3x−10 .(1 point)
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Solve for x : 13x+26=3x−34 .(1 point)
To solve for x, we can start by getting rid of the x term on one side of the equation.
13x + 26 = 3x - 34
We can subtract 3x from both sides to move the x terms to one side:
13x - 3x + 26 = 3x - 3x - 34
10x + 26 = -34
Next, we can subtract 26 from both sides to isolate the x term:
10x + 26 - 26 = -34 - 26
10x = -60
Finally, we divide both sides by 10 to solve for x:
(10x)/10 = -60/10
x = -6
Therefore, x = -6 is the solution.
13x + 26 = 3x - 34
We can subtract 3x from both sides to move the x terms to one side:
13x - 3x + 26 = 3x - 3x - 34
10x + 26 = -34
Next, we can subtract 26 from both sides to isolate the x term:
10x + 26 - 26 = -34 - 26
10x = -60
Finally, we divide both sides by 10 to solve for x:
(10x)/10 = -60/10
x = -6
Therefore, x = -6 is the solution.
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-4(6x - 5)
To simplify the expression -4(6x - 5), we will distribute the -4 to both terms inside the parentheses:
-4 * 6x + (-4) * (-5)
This simplifies to:
-24x + 20
Therefore, -4(6x - 5) simplifies to -24x + 20.
-4 * 6x + (-4) * (-5)
This simplifies to:
-24x + 20
Therefore, -4(6x - 5) simplifies to -24x + 20.
28x + 14
The expression 28x + 14 cannot be simplified any further as there are no like terms to combine. Therefore, the simplified form of the expression 28x + 14 is just 28x + 14.
28x + 14 using gcf
To find the greatest common factor (GCF) of 28x and 14, we can factor out common terms from both numbers.
The prime factorization of 28 is 2 * 2 * 7, and the prime factorization of 14 is 2 * 7.
To find the GCF, we take the smallest exponent for each common prime factor, which in this case is 2 * 7.
Therefore, the GCF of 28x and 14 is 2 * 7 = 14.
We can then factor out the GCF from the expression 28x + 14:
14 * (2x + 1)
Therefore, the expression 28x + 14, factored by the GCF, is 14(2x + 1).
The prime factorization of 28 is 2 * 2 * 7, and the prime factorization of 14 is 2 * 7.
To find the GCF, we take the smallest exponent for each common prime factor, which in this case is 2 * 7.
Therefore, the GCF of 28x and 14 is 2 * 7 = 14.
We can then factor out the GCF from the expression 28x + 14:
14 * (2x + 1)
Therefore, the expression 28x + 14, factored by the GCF, is 14(2x + 1).
8p - 36 using gcf
To find the greatest common factor (GCF) of 8p and 36, we can factor out common terms from both numbers.
The prime factorization of 8p is 2 * 2 * 2 * p, and the prime factorization of 36 is 2 * 2 * 3 * 3.
To find the GCF, we take the smallest exponent for each common prime factor, which in this case is 2 * 2.
Therefore, the GCF of 8p and 36 is 2 * 2 = 4.
We can then factor out the GCF from the expression 8p - 36:
4 * (2p - 9)
Therefore, the expression 8p - 36, factored by the GCF, is 4(2p - 9).
The prime factorization of 8p is 2 * 2 * 2 * p, and the prime factorization of 36 is 2 * 2 * 3 * 3.
To find the GCF, we take the smallest exponent for each common prime factor, which in this case is 2 * 2.
Therefore, the GCF of 8p and 36 is 2 * 2 = 4.
We can then factor out the GCF from the expression 8p - 36:
4 * (2p - 9)
Therefore, the expression 8p - 36, factored by the GCF, is 4(2p - 9).
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