Answer: x=-6
Step-by-step explanation:
Let's solve your equation step-by-step.
2(9−x)=3(x+16)
Step 1: Simplify both sides of the equation by distribution
[tex]2(9-x)=3(x+16)\\(2)(9)+(2)(-x)=(3)(x)+(3)(16)\\18+-2x=3x+48\\-2x+18=3x+48\\[/tex]
Step 2: Subtract 3x from both sides.
[tex]-2x+18-3x=3x+48-3x\\-5x+18=48[/tex]
Step 3: Subtract 18 from both sides.
[tex]-5x+18-18=48-18\\-5x=30[/tex]
Step 4: Divide both sides by -5.
[tex]\frac{-5x}{-5} =\frac{30}{-5} \\x=-6[/tex]
