Answer:
[tex]\boxed {x = 6}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex] :
[tex]-3 = \frac{2}{3}x - 7[/tex]
-Switch sides, and let [tex]\frac{2}{3}x - 7[/tex] be on the left side and [tex]-3[/tex] on right side:
[tex]-3 = \frac{2}{3}x - 7[/tex]
[tex]\frac{2}{3}x - 7 = -3[/tex]
-Add [tex]7[/tex] to both sides:
[tex]\frac{2}{3}x - 7 + 7 = -3 + 7[/tex]
[tex]\frac{2}{3}x = 4[/tex]
-Multiply [tex]\frac{3}{2}[/tex] on both sides, which is the reciprocal of [tex]\frac{2}{3}[/tex] :
[tex]x = 4 \times (\frac{3}{2})[/tex]
[tex]x = \frac{12}{2}[/tex]
-Divide [tex]12[/tex] by [tex]2[/tex]:
[tex]x = \frac{12}{2}[/tex]
[tex]\boxed {x = 6}[/tex]
