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4|-5x+8|-9=243.57
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.
4|-5x+8|=252.57
Add 9 to both sides of the equation.
|-5x+8|=63.1425
Divide both sides by 4.
-5x+8=63.1425 -5x+8=-63.1425
Use the definition of absolute value.
-5x=55.1425 -5x=-71.1425
Subtract 8 from both sides of the equation.
x=-11.0285 x=14.2285
Divide both sides by -5.