%3D-4(-3%2B2x)%2B8.jpeg "1/2(-10x+4)=-4(-3+2x)+8")
Solving the Equation: 1/2(-10x+4)=-4(-3+2x)+8
In this article, we will solve the equation 1/2(-10x+4)=-4(-3+2x)+8 step by step.
Simplifying the Left Side
Let's start by simplifying the left side of the equation:
1/2(-10x+4) = -5x + 2
Simplifying the Right Side
Next, let's simplify the right side of the equation:
-4(-3+2x)+8 = 12 - 8x + 8
Equating the Sides
Now, let's equate the two sides of the equation:
-5x + 2 = 12 - 8x + 8
Solving for x
To solve for x, we can add 5x to both sides of the equation:
-5x + 5x + 2 = 12 - 8x + 5x + 8
This simplifies to:
2 = 20 - 3x
Subtracting 20 from both sides gives us:
-18 = -3x
Dividing both sides by -3 yields:
x = 6
Therefore, the value of x is 6.
Verification
Let's plug x = 6 back into the original equation to verify our solution:
1/2(-10(6)+4) = -4(-3+2(6))+8
Simplifying, we get:
1/2(-56+4) = -4(-3+12)+8
-26 = -26
The equation holds true, which confirms that x = 6 is the correct solution.
