Solve for x 15x+(-6x+5)-2-(-x+3)=-(7x+23)-x+(3-2x)

$15 x + (- 6 x + 5) - 2 - (- x + 3) = - (7 x + 23) - x + (3 - 2 x)$

Simplify $15 x - 6 x + 5 - 2 - (- x + 3)$ .

Simplify each term.

Apply the distributive property.

$15 x - 6 x + 5 - 2 - - x - 1 \cdot 3 = - (7 x + 23) - x + 3 - 2 x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$15 x - 6 x + 5 - 2 + 1 x - 1 \cdot 3 = - (7 x + 23) - x + 3 - 2 x$

Multiply $x$ by $1$ .

$15 x - 6 x + 5 - 2 + x - 1 \cdot 3 = - (7 x + 23) - x + 3 - 2 x$

Multiply $- 1$ by $3$ .

$15 x - 6 x + 5 - 2 + x - 3 = - (7 x + 23) - x + 3 - 2 x$

Simplify by adding terms.

Subtract $6 x$ from $15 x$ .

$9 x + 5 - 2 + x - 3 = - (7 x + 23) - x + 3 - 2 x$

Add $9 x$ and $x$ .

$10 x + 5 - 2 - 3 = - (7 x + 23) - x + 3 - 2 x$

Subtract $2$ from $5$ .

$10 x + 3 - 3 = - (7 x + 23) - x + 3 - 2 x$

Combine the opposite terms in $10 x + 3 - 3$ .

Subtract $3$ from $3$ .

$10 x + 0 = - (7 x + 23) - x + 3 - 2 x$

Add $10 x$ and $0$ .

$10 x = - (7 x + 23) - x + 3 - 2 x$

Simplify $- (7 x + 23) - x + 3 - 2 x$ .

Simplify each term.

Apply the distributive property.

$10 x = - (7 x) - 1 \cdot 23 - x + 3 - 2 x$

Multiply $7$ by $- 1$ .

$10 x = - 7 x - 1 \cdot 23 - x + 3 - 2 x$

Multiply $- 1$ by $23$ .

$10 x = - 7 x - 23 - x + 3 - 2 x$

Simplify by adding terms.

Subtract $x$ from $- 7 x$ .

$10 x = - 8 x - 23 + 3 - 2 x$

Subtract $2 x$ from $- 8 x$ .

$10 x = - 10 x - 23 + 3$

Add $- 23$ and $3$ .

$10 x = - 10 x - 20$

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

Add $10 x$ to both sides of the equation.

$10 x + 10 x = - 20$

Add $10 x$ and $10 x$ .

$20 x = - 20$

Divide each term in $20 x = - 20$ by $20$ and simplify.

Divide each term in $20 x = - 20$ by $20$ .

$\frac{20 x}{20} = \frac{- 20}{20}$

Simplify the left side.

Cancel the common factor of $20$ .

Cancel the common factor.

$\frac{20 x}{20} = \frac{- 20}{20}$

Divide $x$ by $1$ .

$x = \frac{- 20}{20}$

Simplify the right side.

Divide $- 20$ by $20$ .

$x = - 1$

Solve for x 15x+(-6x+5)-2-(-x+3)=-(7x+23)-x+(3-2x)

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