Algebra Examples

$5 - 3 (2 x - 7) = 2 (7 - 3 x)$

Step 1

Simplify $5 - 3 (2 x - 7)$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$5 - 3 (2 x) - 3 \cdot - 7 = 2 (7 - 3 x)$

Step 1.1.2

Multiply $2$ by $- 3$ .

$5 - 6 x - 3 \cdot - 7 = 2 (7 - 3 x)$

Step 1.1.3

Multiply $- 3$ by $- 7$ .

$5 - 6 x + 21 = 2 (7 - 3 x)$

Step 1.2

Add $5$ and $21$ .

$- 6 x + 26 = 2 (7 - 3 x)$

Step 2

Simplify $2 (7 - 3 x)$ .

Tap for more steps...

Step 2.1

Apply the distributive property.

$- 6 x + 26 = 2 \cdot 7 + 2 (- 3 x)$

Step 2.2

Multiply.

Tap for more steps...

Step 2.2.1

Multiply $2$ by $7$ .

$- 6 x + 26 = 14 + 2 (- 3 x)$

Step 2.2.2

Multiply $- 3$ by $2$ .

$- 6 x + 26 = 14 - 6 x$

Step 3

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

Tap for more steps...

Step 3.1

Add $6 x$ to both sides of the equation.

$- 6 x + 26 + 6 x = 14$

Step 3.2

Combine the opposite terms in $- 6 x + 26 + 6 x$ .

Tap for more steps...

Step 3.2.1

Add $- 6 x$ and $6 x$ .

$0 + 26 = 14$

Step 3.2.2

Add $0$ and $26$ .

$26 = 14$

Step 4

Since $26 \neq 14$ , there are no solutions.

No solution