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

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

Multiply both sides by $4$ .

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

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Simplify $(- x + 1) \cdot 4$ .

Apply the distributive property.

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

Multiply.

Multiply $4$ by $- 1$ .

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

Multiply $4$ by $1$ .

$2 x - 1 = - 4 x + 4$

Solve for $x$ .

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

Add $4 x$ to both sides of the equation.

$2 x - 1 + 4 x = 4$

Add $2 x$ and $4 x$ .

$6 x - 1 = 4$

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

Add $1$ to both sides of the equation.

$6 x = 4 + 1$

Add $4$ and $1$ .

$6 x = 5$

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 $1$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.8\overline{3}$