Hi there!
Question:
What is the value of x in the equation 2 (6x+4) - 6 + 2x = 3 (4x + 3) + 1
Answer:
x = 4
Step-by-step explanation:
[tex]2(6x+4) -6+2x=3(4x+3)+1[/tex]
Step 1: Simplify both sides of the equation.
[tex]2(6x+4)-6+2x=3(4x+3)+1[/tex]
[tex](2)(6x)+(2)(4)+-6+2x=(3)(4x)+(3)(3)+1[/tex] (Distribute)
[tex]12x+8+- 6+2x=12x+9+1[/tex]
[tex](12x+2x)+(8+- 6)=(12x)+(9+1)[/tex] (Combine Like Terms)
[tex]14x+2=12x+10[/tex]
Step 2: Subtract 12x from both sides.
[tex]14x+2 -12x=12x+10 - 12x[/tex]
[tex]2x+2=10[/tex]
Step 3: Subtract 2 from both sides.
[tex]2x+2-2=10-2[/tex]
[tex]2x=8[/tex]
Step 4: Divide both sides by 2.
[tex]\frac{2x}{2} =\frac{8}{2}[/tex]
[tex]x=4[/tex]
