Algebra Examples

$4 x - (3 (x - 12) + 1) = 10$

Step 1

Simplify $4 x - (3 (x - 12) + 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Simplify each term.

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Step 1.1.1.1

Apply the distributive property.

$4 x - (3 x + 3 \cdot - 12 + 1) = 10$

Step 1.1.1.2

Multiply $3$ by $- 12$ .

$4 x - (3 x - 36 + 1) = 10$

Step 1.1.2

Add $- 36$ and $1$ .

$4 x - (3 x - 35) = 10$

Step 1.1.3

Apply the distributive property.

$4 x - (3 x) - - 35 = 10$

Step 1.1.4

Multiply $3$ by $- 1$ .

$4 x - 3 x - - 35 = 10$

Step 1.1.5

Multiply $- 1$ by $- 35$ .

$4 x - 3 x + 35 = 10$

Step 1.2

Subtract $3 x$ from $4 x$ .

$x + 35 = 10$

Step 2

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

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Step 2.1

Subtract $35$ from both sides of the equation.

$x = 10 - 35$

Step 2.2

Subtract $35$ from $10$ .

$x = - 25$