Answer:
The value of x that makes the equation true is x = 312.
Explanation:
In this case, the concept involves simplifying the given equation by performing the necessary arithmetic operations to isolate the variable ( x ) on one side of the equation.
This process includes combining like terms, applying the order of operations, and solving for the unknown variable.
To find the value of x that makes the equation
( 12(12+8) - x + 6 = -13(12 - 6) ) true, we can follow these steps:
First, let's simplify the equation by performing the arithmetic operations.
Step 1: Simplify both sides of the equation
[ 12(12+8) - (x+6) = -13(12-6) ]
[ 12(20) - (x+6) = -13(6) ]
[ 240 - (x+6) = -78 ]
[ 240 - x - 6 = -78 ]
[ 234 - x = -78 ]
Step 2: Solve for x
Add x and subtract 234 from both sides:
[ x = 234 + 78 ]
[ x = 312 ]
Therefore, the value of x that makes the equation true is ( x = 312 ).