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Short Answer

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The solution to the given equation \( 3x - 5 = 10 \) is \( x = 5 \).

Step by step solution

01

Add 5 to both sides of the equation.

By adding 5 to both sides of the equation, we can remove the constant term (-5) from the left side of the equation. This results in: \[ 3x - 5 + 5 = 10 + 5 \]
02

Simplify the equation.

After adding 5 to both sides of the equation, we can simplify the equation as follows: \[ 3x = 15 \]
03

Divide both sides of the equation by 3.

To isolate x, we need to remove the coefficient (3) on the left side of the equation. To do this, we divide both sides of the equation by 3: \[ \frac{3x}{3} = \frac{15}{3} \]
04

Simplify the equation and find the value of x.

After dividing both sides of the equation by 3, we simplify the equation to find the value of x: \[ x = 5 \] So the solution to the given equation \( 3x - 5 = 10 \) is \( x = 5 \) .

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