Answer:
x= 15 /7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x− 6 /2 =x+12
8x+−3=x+12
8x−3=x+12
Step 2: Subtract x from both sides.
8x−3−x=x+12−x
7x−3=12
Step 3: Add 3 to both sides.
7x−3+3=12+3
7x=15
Step 4: Divide both sides by 7.
7x /7 = 15 /7
Answer:
[tex]\boxed {x = \frac{15}{7}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]8x - \frac{6}{2} = x + 12[/tex]
-Divide [tex]6[/tex] by [tex]2[/tex]:
[tex]8x - \frac{6}{2} = x + 12[/tex]
[tex]8x - 3 = x + 12[/tex]
-Take [tex]x[/tex] and subtract from [tex]8x[/tex]:
[tex]8x - 3 - x = x - x + 12[/tex]
[tex]7x - 3 = 12[/tex]
-Add both sides by [tex]3[/tex]:
[tex]7x - 3 + 3= 12 + 3[/tex]
[tex]7x = 15[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{15}{7}[/tex]
[tex]\boxed {x = \frac{15}{7}}[/tex]
So, the value of [tex]x[/tex] is [tex]\frac{15}{7}[/tex].
