Question $-4.65=3.5 x-0.1$

Studdy Solution

STEP 1

1. The equation $-4.65 = 3.5x - 0.1$ is asking us to solve for $x$ .
2. This is a linear equation with one variable.
3. The equation involves basic algebraic operations, specifically addition and division.

STEP 2

1. Isolate the term containing $x$ by eliminating the constant term on the right-hand side.
2. Solve for $x$ by isolating it completely.
3. Check the solution by substituting it back into the original equation.

STEP 3

To isolate the term containing $x$ , add $0.1$ to both sides of the equation to eliminate the constant term on the right-hand side:
$-4.65 + 0.1 = 3.5x - 0.1 + 0.1$

STEP 4

Simplify both sides of the equation:
$-4.55 = 3.5x$

STEP 5

To solve for $x$ , divide both sides of the equation by $3.5$ :
$\frac{-4.55}{3.5} = \frac{3.5x}{3.5}$

STEP 6

Simplify both sides to find the value of $x$ :
$x = -1.3$

STEP 7

Check the solution by substituting $x = -1.3$ back into the original equation:
$-4.65 = 3.5(-1.3) - 0.1$
Calculate the right-hand side:
$3.5(-1.3) = -4.55$
$-4.55 - 0.1 = -4.65$

STEP 8

Verify that both sides of the equation are equal:
$-4.65 = -4.65$
The solution is correct.
Therefore, the solution is:
$\boxed{-1.3}$

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