2(3-2x)=13 Solve the problem and give you he value of x?
Solving the equation 2(3-2x)=13:
To solve the equation 2(3-2x)=13, we will follow the steps below:
Step 1: Distribute the 2 to the terms inside the parentheses:
2 * 3 - 2 * (2x) = 13
6 - 4x = 13
Step 2: Combine like terms:
-4x = 13 - 6
-4x = 7
Step 3: Divide both sides of the equation by -4 to isolate x:
x = 7 / -4
Simplifying the solution:
To simplify the solution further, we can express 7 as -4 * (-2) + 1:
x = -4 * (-2) + 1 / -4
x = 8 - 1/4
x = 31/4
Therefore, the solution to the equation 2(3-2x)=13 is x = 31/4.
Explanation:
The given equation is a linear equation with one variable, x. Our goal is to find the value of x that satisfies the equation.
In the first step, we distribute the 2 to both terms inside the parentheses using the distributive property. This gives us 6 - 4x on the left side of the equation.
Next, we combine like terms by subtracting 6 from both sides of the equation. This simplifies the equation to -4x = 7.
To isolate x, we divide both sides of the equation by -4. This gives us x = 7 / -4.
To express the solution as a simplified fraction, we can rewrite 7 as -4 * (-2) + 1. This allows us to rewrite the solution as x = -4 * (-2) + 1 / -4. Simplifying further, we get x = 8 - 1/4.
Therefore, the solution to the equation 2(3-2x)=13 is x = 31/4. This means that when x is equal to 31/4, the equation is satisfied.
2(3-2x)=13 Solve the problem and give you he value of x?
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