Pre-Algebra Examples

$1 - (x + 3) = 4 - 2 x$

Step 1

Simplify $1 - (x + 3)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$1 - x - 1 \cdot 3 = 4 - 2 x$

Step 1.1.2

Multiply $- 1$ by $3$ .

$1 - x - 3 = 4 - 2 x$

Step 1.2

Subtract $3$ from $1$ .

$- x - 2 = 4 - 2 x$

Step 2

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

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Step 2.1

Add $2 x$ to both sides of the equation.

$- x - 2 + 2 x = 4$

Step 2.2

Add $- x$ and $2 x$ .

$x - 2 = 4$

Step 3

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

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Step 3.1

Add $2$ to both sides of the equation.

$x = 4 + 2$

Step 3.2

Add $4$ and $2$ .

$x = 6$