Solve for x 5(x+1)-8=5x(2-4)

$5 (x + 1) - 8 = 5 x (2 - 4)$

Simplify $5 (x + 1) - 8$ .

Simplify each term.

Apply the distributive property.

$5 x + 5 \cdot 1 - 8 = 5 x (2 - 4)$

Multiply $5$ by $1$ .

$5 x + 5 - 8 = 5 x (2 - 4)$

Subtract $8$ from $5$ .

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

Simplify $5 x (2 - 4)$ .

Subtract $4$ from $2$ .

$5 x - 3 = 5 x \cdot - 2$

Multiply $- 2$ by $5$ .

$5 x - 3 = - 10 x$

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

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

$5 x - 3 + 10 x = 0$

Add $5 x$ and $10 x$ .

$15 x - 3 = 0$

Add $3$ to both sides of the equation.

$15 x = 3$

Divide each term in $15 x = 3$ by $15$ and simplify.

Divide each term in $15 x = 3$ by $15$ .

$\frac{15 x}{15} = \frac{3}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{3}{15}$

Divide $x$ by $1$ .

$x = \frac{3}{15}$

Simplify the right side.

Cancel the common factor of $3$ and $15$ .

Factor $3$ out of $3$ .

$x = \frac{3 (1)}{15}$

Cancel the common factors.

Factor $3$ out of $15$ .

$x = \frac{3 \cdot 1}{3 \cdot 5}$

Cancel the common factor.

$x = \frac{3 \cdot 1}{3 \cdot 5}$

Rewrite the expression.

$x = \frac{1}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{5}$

Decimal Form:

$x = 0.2$

Solve for x 5(x+1)-8=5x(2-4)

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