3x + 6(2x - 5) = 3x - 3
First, take out '3x' on both sides.
[tex]6(2x - 5) = -3[/tex]
Second, divide both side by '6'.
[tex]2x - 5 = -\frac{3}{6} [/tex]
Third, find the GCF of 3 and 6.
The GCF is 3.
Fourth, divide the numerator by the GCF.
[tex]3[/tex] ÷ [tex]3 = 1[/tex]
Fifth, divide the denominator by the GCF.
[tex]6[/tex] ÷ [tex]3 = 2[/tex]
Sixth, rewrite the fraction in simplest form.
[tex]2x - 5 = -\frac{1}{2} [/tex]
Seventh, add '5' to both sides.
[tex]2x = -\frac{1}{2} + 5[/tex]
Eighth, make the denominators the same.
[tex] -\frac{1}{2} + 5 * \frac{2}{2} [/tex]
Ninth, simplify so that the denominators are the same.
[tex]- \frac{1}{2} + \frac{10}{2} [/tex]
Tenth, combine the denominators.
[tex] \frac{-1+10}{2} [/tex]
Eleventh, subtract '-1 + 10' to get '9'.
[tex]2x = \frac{9}{2} [/tex]
Twelfth, divide both sides by '2'.
[tex]x = \frac{9}{2*2} [/tex]
Thirteenth, multiply '2 × 2' to get '4'.
[tex]x = \frac{9}{4} [/tex]
Answer as fraction: [tex]x = \frac{9}{4} [/tex]
Answer as decimal: [tex]x = 2.25[/tex]
