Pre-Algebra Examples

$3 (x + 2.71) = 2 x$

Step 1

Simplify $3 (x + 2.71)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (x + 2.71) = 2 x$

Step 1.2

Simplify by adding zeros.

$3 (x + 2.71) = 2 x$

Step 1.3

Apply the distributive property.

$3 x + 3 \cdot 2.71 = 2 x$

Step 1.4

Multiply $3$ by $2.71$ .

$3 x + 8.13 = 2 x$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Subtract $2 x$ from both sides of the equation.

$3 x + 8.13 - 2 x = 0$

Step 2.2

Subtract $2 x$ from $3 x$ .

$x + 8.13 = 0$

Step 3

Subtract $8.13$ from both sides of the equation.

$x = - 8.13$