Answer:
Step 1: Distribute [tex]-2[/tex] to [tex]5x[/tex] and [tex]8[/tex]
Step 2: Subtract from both sides of the equation [tex]6x[/tex]
Step 3: Add to both sides of the equation [tex]16[/tex]
Step 4: Divide both sides of the equation by [tex]-16[/tex]
Step-by-step explanation:
Step 1: Apply the Distributive Property. Then you must distribute [tex]-2[/tex] to [tex]5x[/tex] and [tex]8[/tex]
Then:
[tex]-2(5x+8)=14+6x\\\\-10x-16=14+6x[/tex]
Step 2: You must apply the Subtraction property of Equality and subtract [tex]6x[/tex] from both sides of the equation. Then:
[tex]-10x-16-6x=14+6x-6x\\\\-16x-16=14[/tex]
Step 3: You must apply the Addition property of Equality and add [tex]16[/tex] to both sides of the equation. Then:
[tex]-16x-16+16=14+16\\\\-16x=30[/tex]
Step 4: You must apply the Division property of Equality and divide both sides by [tex]-16[/tex]. Then:
[tex]\frac{-16x}{-16}=\frac{30}{-16}\\\\x=\frac{30}{-16}\\\\x=-\frac{15}{8}[/tex]
