Solve for x 2-5(2x-3)=4(3-4x)

$2 - 5 (2 x - 3) = 4 (3 - 4 x)$

Step 1

Simplify $2 - 5 (2 x - 3)$ .

Simplify each term.

Apply the distributive property.

$2 - 5 (2 x) - 5 \cdot - 3 = 4 (3 - 4 x)$

Multiply $2$ by $- 5$ .

$2 - 10 x - 5 \cdot - 3 = 4 (3 - 4 x)$

Multiply $- 5$ by $- 3$ .

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

Add $2$ and $15$ .

$- 10 x + 17 = 4 (3 - 4 x)$

Step 2

Simplify $4 (3 - 4 x)$ .

Apply the distributive property.

$- 10 x + 17 = 4 \cdot 3 + 4 (- 4 x)$

Multiply.

Multiply $4$ by $3$ .

$- 10 x + 17 = 12 + 4 (- 4 x)$

Multiply $- 4$ by $4$ .

$- 10 x + 17 = 12 - 16 x$

Step 3

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

Add $16 x$ to both sides of the equation.

$- 10 x + 17 + 16 x = 12$

Add $- 10 x$ and $16 x$ .

$6 x + 17 = 12$

Step 4

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

Subtract $17$ from both sides of the equation.

$6 x = 12 - 17$

Subtract $17$ from $12$ .

$6 x = - 5$

Step 5

Divide each term in $6 x = - 5$ by $6$ and simplify.

Divide each term in $6 x = - 5$ by $6$ .

$\frac{6 x}{6} = \frac{- 5}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 5}{6}$

Divide $x$ by $1$ .

$x = \frac{- 5}{6}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{5}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{6}$

Decimal Form:

$x = - 0.8\overline{3}$

Solve for x 2-5(2x-3)=4(3-4x)

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