Solve for x 6-(3x+10)+4(2-x)=15

$6 - (3 x + 10) + 4 (2 - x) = 15$

Step 1

Simplify $6 - (3 x + 10) + 4 (2 - x)$ .

Simplify each term.

Apply the distributive property.

$6 - (3 x) - 1 \cdot 10 + 4 (2 - x) = 15$

Multiply $3$ by $- 1$ .

$6 - 3 x - 1 \cdot 10 + 4 (2 - x) = 15$

Multiply $- 1$ by $10$ .

$6 - 3 x - 10 + 4 (2 - x) = 15$

Apply the distributive property.

$6 - 3 x - 10 + 4 \cdot 2 + 4 (- x) = 15$

Multiply $4$ by $2$ .

$6 - 3 x - 10 + 8 + 4 (- x) = 15$

Multiply $- 1$ by $4$ .

$6 - 3 x - 10 + 8 - 4 x = 15$

Simplify by adding terms.

Subtract $10$ from $6$ .

$- 3 x - 4 + 8 - 4 x = 15$

Subtract $4 x$ from $- 3 x$ .

$- 7 x - 4 + 8 = 15$

Add $- 4$ and $8$ .

$- 7 x + 4 = 15$

Step 2

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

Subtract $4$ from both sides of the equation.

$- 7 x = 15 - 4$

Subtract $4$ from $15$ .

$- 7 x = 11$

Step 3

Divide each term in $- 7 x = 11$ by $- 7$ and simplify.

Divide each term in $- 7 x = 11$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{11}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{11}{- 7}$

Divide $x$ by $1$ .

$x = \frac{11}{- 7}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{11}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{7}$

Decimal Form:

$x = - 1.\overline{571428}$

Mixed Number Form:

$x = - 1 \frac{4}{7}$

Solve for x 6-(3x+10)+4(2-x)=15

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