Solve for x (4x-1)/2=x+7

$\frac{4 x - 1}{2} = x + 7$

Multiply both sides by $2$ .

$\frac{4 x - 1}{2} \cdot 2 = (x + 7) \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{4 x - 1}{2} \cdot 2 = (x + 7) \cdot 2$

Rewrite the expression.

$4 x - 1 = (x + 7) \cdot 2$

Simplify the right side.

Simplify $(x + 7) \cdot 2$ .

Apply the distributive property.

$4 x - 1 = x \cdot 2 + 7 \cdot 2$

Simplify the expression.

Move $2$ to the left of $x$ .

$4 x - 1 = 2 \cdot x + 7 \cdot 2$

Multiply $7$ by $2$ .

$4 x - 1 = 2 x + 14$

Solve for $x$ .

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

Subtract $2 x$ from both sides of the equation.

$4 x - 1 - 2 x = 14$

Subtract $2 x$ from $4 x$ .

$2 x - 1 = 14$

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

Add $1$ to both sides of the equation.

$2 x = 14 + 1$

Add $14$ and $1$ .

$2 x = 15$

Divide each term in $2 x = 15$ by $2$ and simplify.

Divide each term in $2 x = 15$ by $2$ .

$\frac{2 x}{2} = \frac{15}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{15}{2}$

Divide $x$ by $1$ .

$x = \frac{15}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{15}{2}$

Decimal Form:

$x = 7.5$

Mixed Number Form:

$x = 7 \frac{1}{2}$

Solve for x (4x-1)/2=x+7

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