Solve for x 3(4x-2)-5x=6-7(-x-2)

$3 (4 x - 2) - 5 x = 6 - 7 (- x - 2)$

Step 1

Simplify $3 (4 x - 2) - 5 x$ .

Simplify each term.

Apply the distributive property.

$3 (4 x) + 3 \cdot - 2 - 5 x = 6 - 7 (- x - 2)$

Multiply $4$ by $3$ .

$12 x + 3 \cdot - 2 - 5 x = 6 - 7 (- x - 2)$

Multiply $3$ by $- 2$ .

$12 x - 6 - 5 x = 6 - 7 (- x - 2)$

$12 x - 6 - 5 x = 6 - 7 (- x - 2)$

Subtract $5 x$ from $12 x$ .

$7 x - 6 = 6 - 7 (- x - 2)$

$7 x - 6 = 6 - 7 (- x - 2)$

Step 2

Simplify $6 - 7 (- x - 2)$ .

Simplify each term.

Apply the distributive property.

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

Multiply $- 1$ by $- 7$ .

$7 x - 6 = 6 + 7 x - 7 \cdot - 2$

Multiply $- 7$ by $- 2$ .

$7 x - 6 = 6 + 7 x + 14$

$7 x - 6 = 6 + 7 x + 14$

Add $6$ and $14$ .

$7 x - 6 = 7 x + 20$

$7 x - 6 = 7 x + 20$

Step 3

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

Subtract $7 x$ from both sides of the equation.

$7 x - 6 - 7 x = 20$

Combine the opposite terms in $7 x - 6 - 7 x$ .

Subtract $7 x$ from $7 x$ .

$0 - 6 = 20$

Subtract $6$ from $0$ .

$- 6 = 20$

$- 6 = 20$

$- 6 = 20$

Step 4

Since $- 6 \neq 20$ , there are no solutions.

No solution

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