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Solve the two-step equation.

[tex]\[ 14 = 31.7 - 3x \][/tex]

What is the solution?

[tex]\[ x = \square \][/tex]


Sagot :

To solve the equation [tex]\( 14 = 31.7 - 3x \)[/tex], follow these step-by-step instructions:

1. Start by isolating the term with [tex]\( x \)[/tex]. Subtract [tex]\( 31.7 \)[/tex] from both sides of the equation:
[tex]\[ 14 - 31.7 = 31.7 - 3x - 31.7 \][/tex]
This simplifies to:
[tex]\[ -17.7 = -3x \][/tex]

2. Next, solve for [tex]\( x \)[/tex] by dividing both sides of the equation by [tex]\(-3\)[/tex]:
[tex]\[ x = \frac{-17.7}{-3} \][/tex]

3. Perform the division to find the value of [tex]\( x \)[/tex]:
[tex]\[ x = 5.8999999999999995 \][/tex]

So, the solution to the equation [tex]\( 14 = 31.7 - 3x \)[/tex] is:
[tex]\[ x = 5.8999999999999995 \][/tex]