Solve for x 2x-32+4(3x-2462)=14x

$2 x - 32 + 4 (3 x - 2462) = 14 x$

Step 1

Simplify $2 x - 32 + 4 (3 x - 2462)$ .

Simplify each term.

Apply the distributive property.

$2 x - 32 + 4 (3 x) + 4 \cdot - 2462 = 14 x$

Multiply $3$ by $4$ .

$2 x - 32 + 12 x + 4 \cdot - 2462 = 14 x$

Multiply $4$ by $- 2462$ .

$2 x - 32 + 12 x - 9848 = 14 x$

Simplify by adding terms.

Add $2 x$ and $12 x$ .

$14 x - 32 - 9848 = 14 x$

Subtract $9848$ from $- 32$ .

$14 x - 9880 = 14 x$

Step 2

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

Subtract $14 x$ from both sides of the equation.

$14 x - 9880 - 14 x = 0$

Combine the opposite terms in $14 x - 9880 - 14 x$ .

Subtract $14 x$ from $14 x$ .

$0 - 9880 = 0$

Subtract $9880$ from $0$ .

$- 9880 = 0$

Step 3

Since $- 9880 \neq 0$ , there are no solutions.

No solution