Answer:
[tex]\boxed {x = \frac{13}{4}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex](2x - 4) - 2 = 1 - 2(x - 3)[/tex]
-Subtract 2 from [tex]4[/tex]:
[tex](2x - 4) - 2 = 1 - 2(x - 3)[/tex]
[tex]2x - 6 = 1 - 2(x - 3)[/tex]
-Use Distributive Property:
[tex]2x - 6 = 1 - 2(x - 3)[/tex]
[tex]2x - 6 = 1 - 2x - 6[/tex]
-Add [tex]2x[/tex] to both sides:
[tex]2x - 6 + 2x = 1 - 2x + 2x - 6[/tex]
[tex]4x - 6 = 7[/tex]
-Add both sides by [tex]6[/tex]:
[tex]4x - 6 + 6 = 7 + 6[/tex]
[tex]4x = 13[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]\frac{4x}{4} = \frac{13}{4}[/tex]
[tex]\boxed {x = \frac{13}{4}}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\frac{13}{4}[/tex].
