Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 12, 2024

Solve for $x$ when $g(x) = 5x + 2 = 7$ .

STEP 1

Assumptions
1. The function is given by $g(x) = 5x + 2$ .
2. We need to solve for $x$ when $g(x) = 7$ .

STEP 2

To find the value of $x$ when $g(x) = 7$ , we set the function equal to 7 and solve for $x$ .
$g(x) = 7$

STEP 3

Substitute the expression for $g(x)$ into the equation.
$5x + 2 = 7$

STEP 4

Subtract 2 from both sides of the equation to isolate terms with $x$ on one side.
$5x + 2 - 2 = 7 - 2$

STEP 5

Simplify both sides of the equation.
$5x = 5$

STEP 6

Divide both sides of the equation by 5 to solve for $x$ .
$\frac{5x}{5} = \frac{5}{5}$

STEP 7

Simplify the equation to find the value of $x$ .
$x = 1$
The solution for $x$ when $g(x) = 7$ is $x = 1$ .

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