Algebra Examples

$0.9 (x + 1.4) - 2.3 + 0.1 x = 1.6$

Step 1

Simplify $0.9 (x + 1.4) - 2.3 + 0.1 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$0.9 x + 0.9 \cdot 1.4 - 2.3 + 0.1 x = 1.6$

Step 1.1.2

Multiply $0.9$ by $1.4$ .

$0.9 x + 1.26 - 2.3 + 0.1 x = 1.6$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $0.9 x$ and $0.1 x$ .

$x + 1.26 - 2.3 = 1.6$

Step 1.2.2

Subtract $2.3$ from $1.26$ .

$x - 1.04 = 1.6$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Add $1.04$ to both sides of the equation.

$x = 1.6 + 1.04$

Step 2.2

Add $1.6$ and $1.04$ .

$x = 2.64$