Evaluate 4(x-2)+3(x+1)=3(x-1)

$4 (x - 2) + 3 (x + 1) = 3 (x - 1)$

Step 1

Simplify $4 (x - 2) + 3 (x + 1)$ .

Simplify each term.

Apply the distributive property.

$4 x + 4 \cdot - 2 + 3 (x + 1) = 3 (x - 1)$

Multiply $4$ by $- 2$ .

$4 x - 8 + 3 (x + 1) = 3 (x - 1)$

Apply the distributive property.

$4 x - 8 + 3 x + 3 \cdot 1 = 3 (x - 1)$

Multiply $3$ by $1$ .

$4 x - 8 + 3 x + 3 = 3 (x - 1)$

Simplify by adding terms.

Add $4 x$ and $3 x$ .

$7 x - 8 + 3 = 3 (x - 1)$

Add $- 8$ and $3$ .

$7 x - 5 = 3 (x - 1)$

Step 2

Simplify $3 (x - 1)$ .

Apply the distributive property.

$7 x - 5 = 3 x + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$7 x - 5 = 3 x - 3$

Step 3

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

Subtract $3 x$ from both sides of the equation.

$7 x - 5 - 3 x = - 3$

Subtract $3 x$ from $7 x$ .

$4 x - 5 = - 3$

Step 4

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

Add $5$ to both sides of the equation.

$4 x = - 3 + 5$

Add $- 3$ and $5$ .

$4 x = 2$

Step 5

Divide each term in $4 x = 2$ by $4$ and simplify.

Divide each term in $4 x = 2$ by $4$ .

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.5$

Evaluate 4(x-2)+3(x+1)=3(x-1)

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