Solve for x 5(3-4x)=7-(4-x)

$5 (3 - 4 x) = 7 - (4 - x)$

Step 1

Simplify $5 (3 - 4 x)$ .

Rewrite.

$0 + 0 + 5 (3 - 4 x) = 7 - (4 - x)$

Simplify by adding zeros.

$5 (3 - 4 x) = 7 - (4 - x)$

Apply the distributive property.

$5 \cdot 3 + 5 (- 4 x) = 7 - (4 - x)$

Multiply.

Multiply $5$ by $3$ .

$15 + 5 (- 4 x) = 7 - (4 - x)$

Multiply $- 4$ by $5$ .

$15 - 20 x = 7 - (4 - x)$

Step 2

Simplify $7 - (4 - x)$ .

Simplify each term.

Apply the distributive property.

$15 - 20 x = 7 - 1 \cdot 4 - - x$

Multiply $- 1$ by $4$ .

$15 - 20 x = 7 - 4 - - x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$15 - 20 x = 7 - 4 + 1 x$

Multiply $x$ by $1$ .

$15 - 20 x = 7 - 4 + x$

Subtract $4$ from $7$ .

$15 - 20 x = 3 + x$

Step 3

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

Subtract $x$ from both sides of the equation.

$15 - 20 x - x = 3$

Subtract $x$ from $- 20 x$ .

$15 - 21 x = 3$

Step 4

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

Subtract $15$ from both sides of the equation.

$- 21 x = 3 - 15$

Subtract $15$ from $3$ .

$- 21 x = - 12$

Step 5

Divide each term in $- 21 x = - 12$ by $- 21$ and simplify.

Divide each term in $- 21 x = - 12$ by $- 21$ .

$\frac{- 21 x}{- 21} = \frac{- 12}{- 21}$

Simplify the left side.

Cancel the common factor of $- 21$ .

Cancel the common factor.

$\frac{- 21 x}{- 21} = \frac{- 12}{- 21}$

Divide $x$ by $1$ .

$x = \frac{- 12}{- 21}$

Simplify the right side.

Cancel the common factor of $- 12$ and $- 21$ .

Factor $- 3$ out of $- 12$ .

$x = \frac{- 3 (4)}{- 21}$

Cancel the common factors.

Factor $- 3$ out of $- 21$ .

$x = \frac{- 3 \cdot 4}{- 3 \cdot 7}$

Cancel the common factor.

$x = \frac{- 3 \cdot 4}{- 3 \cdot 7}$

Rewrite the expression.

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.\overline{571428}$

Solve for x 5(3-4x)=7-(4-x)

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