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

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

Step 1

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

Simplify each term.

Apply the distributive property.

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

Multiply $- 3$ by $4$ .

$4 x - 3 x - 12 = 3 x - 6 (3 x - 4)$

Subtract $3 x$ from $4 x$ .

$x - 12 = 3 x - 6 (3 x - 4)$

Step 2

Simplify $3 x - 6 (3 x - 4)$ .

Simplify each term.

Apply the distributive property.

$x - 12 = 3 x - 6 (3 x) - 6 \cdot - 4$

Multiply $3$ by $- 6$ .

$x - 12 = 3 x - 18 x - 6 \cdot - 4$

Multiply $- 6$ by $- 4$ .

$x - 12 = 3 x - 18 x + 24$

Subtract $18 x$ from $3 x$ .

$x - 12 = - 15 x + 24$

Step 3

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

Add $15 x$ to both sides of the equation.

$x - 12 + 15 x = 24$

Add $x$ and $15 x$ .

$16 x - 12 = 24$

Step 4

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

Add $12$ to both sides of the equation.

$16 x = 24 + 12$

Add $24$ and $12$ .

$16 x = 36$

Step 5

Divide each term in $16 x = 36$ by $16$ and simplify.

Divide each term in $16 x = 36$ by $16$ .

$\frac{16 x}{16} = \frac{36}{16}$

Simplify the left side.

Cancel the common factor of $16$ .

Cancel the common factor.

$\frac{16 x}{16} = \frac{36}{16}$

Divide $x$ by $1$ .

$x = \frac{36}{16}$

Simplify the right side.

Cancel the common factor of $36$ and $16$ .

Factor $4$ out of $36$ .

$x = \frac{4 (9)}{16}$

Cancel the common factors.

Factor $4$ out of $16$ .

$x = \frac{4 \cdot 9}{4 \cdot 4}$

Cancel the common factor.

$x = \frac{4 \cdot 9}{4 \cdot 4}$

Rewrite the expression.

$x = \frac{9}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{4}$

Decimal Form:

$x = 2.25$

Mixed Number Form:

$x = 2 \frac{1}{4}$

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

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