Answer:
X = 2
Step-by-step explanation:
Let's solve your equation step-by-step.
12(x−2)+3x=1/2(x+6)+2
Step 1: Simplify both sides of the equation.
12(x−2)+3x=1/2(x+6)+2
(12)(x)+(12)(−2)+3x=(1/2)(x)+(1/2)(6)+2(Distribute)
12x+−24+3x=1/2x+3+2
15x+−24=1/2x+5
15x−24=1/2x+5
Step 2: Subtract 1/2x from both sides.
15x−24−1/2x=1/2x+5−1/2x
[tex]\frac{29}{2}[/tex]x−24=5
Step 3: Add 24 to both sides.
[tex]\frac{29}{2}[/tex]x−24+24=5+24
[tex]\frac{29}{2}[/tex]x = 29
Step 4: Multiply both sides by 2/29.
([tex]\frac{29}{2}[/tex])*([tex]\frac{29}{2}[/tex]x)=([tex]\frac{29}{2}[/tex])*(29)
x = 2
