Answer:
[tex]x = \frac{2}{3}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
2
3
−4x+
7
2
=−9x+
5
6
Step 1: Simplify both sides of the equation.
2
3
−4x+
7
2
=−9x+
5
6
2
3
+−4x+
7
2
=−9x+
5
6
(−4x)+(
2
3
+
7
2
)=−9x+
5
6
(Combine Like Terms)
−4x+
25
6
=−9x+
5
6
−4x+
25
6
=−9x+
5
6
Step 2: Add 9x to both sides.
−4x+
25
6
+9x=−9x+
5
6
+9x
5x+
25
6
=
5
6
Step 3: Subtract 25/6 from both sides.
5x+
25
6
−
25
6
=
5
6
−
25
6
5x=
−10
3
Step 4: Divide both sides by 5.
5x
5
=
−10
3
5
x=
−2
3
