Answer:
X=9
Explanation:
3.5(7−x)+32=106−1.5(4x+18)
Step 1: Simplify both sides of the equation.
3.5(7−x)+32=106−1.5(4x+18)
(3.5)(7)+(3.5)(−x)+32=106+(−1.5)(4x)+(−1.5)(18)(Distribute)
24.5+−3.5x+32=106+−6x+−27
(−3.5x)+(24.5+32)=(−6x)+(106+−27)(Combine Like Terms)
−3.5x+56.5=−6x+79
−3.5x+56.5=−6x+79
Step 2: Add 6x to both sides.
−3.5x+56.5+6x=−6x+79+6x
2.5x+56.5=79
Step 3: Subtract 56.5 from both sides.
2.5x+56.5−56.5=79−56.5
2.5x=22.5
Step 4: Divide both sides by 2.5.
2.5x
2.5
=
22.5
2.5
x=9