Solve for x

Question

x
: 10x+5=7x−16
10
x
+
5
=
7
x
−
16
.

Answer 1

To solve the equation \( 10x + 5 = 7x - 16 \), we can start by isolating \( x \).

1. Subtract \( 7x \) from both sides: \[ 10x - 7x + 5 = -16 \] This simplifies to: \[ 3x + 5 = -16 \]

2. Next, subtract 5 from both sides: \[ 3x = -16 - 5 \] This simplifies to: \[ 3x = -21 \]

3. Now, divide both sides by 3: \[ x = \frac{-21}{3} \] This simplifies to: \[ x = -7 \]

Thus, the solution for \( x \) is: \[ \boxed{-7} \]