Solve for x -4(x+10)-6=-3(x-2)

$- 4 (x + 10) - 6 = - 3 (x - 2)$

Simplify $- 4 (x + 10) - 6$ .

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Simplify each term.

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Apply the distributive property.

$- 4 x - 4 \cdot 10 - 6 = - 3 (x - 2)$

Multiply $- 4$ by $10$ .

$- 4 x - 40 - 6 = - 3 (x - 2)$

Subtract $6$ from $- 40$ .

$- 4 x - 46 = - 3 (x - 2)$

Simplify $- 3 (x - 2)$ .

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Apply the distributive property.

$- 4 x - 46 = - 3 x - 3 \cdot - 2$

Multiply $- 3$ by $- 2$ .

$- 4 x - 46 = - 3 x + 6$

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

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Add $3 x$ to both sides of the equation.

$- 4 x - 46 + 3 x = 6$

Add $- 4 x$ and $3 x$ .

$- x - 46 = 6$

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

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Add $46$ to both sides of the equation.

$- x = 6 + 46$

Add $6$ and $46$ .

$- x = 52$

Multiply each term in $- x = 52$ by $- 1$

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Multiply each term in $- x = 52$ by $- 1$ .

$(- x) \cdot - 1 = 52 \cdot - 1$

Multiply $(- x) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 x = 52 \cdot - 1$

Multiply $x$ by $1$ .

$x = 52 \cdot - 1$

Multiply $52$ by $- 1$ .

$x = - 52$

Solve for x -4(x+10)-6=-3(x-2)

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