Solve for x -28=-7(3x+4)+21x

$- 28 = - 7 (3 x + 4) + 21 x$

Rewrite the equation as $- 7 (3 x + 4) + 21 x = - 28$ .

$- 7 (3 x + 4) + 21 x = - 28$

Simplify $- 7 (3 x + 4) + 21 x$ .

Simplify each term.

Apply the distributive property.

$- 7 (3 x) - 7 \cdot 4 + 21 x = - 28$

Multiply $3$ by $- 7$ .

$- 21 x - 7 \cdot 4 + 21 x = - 28$

Multiply $- 7$ by $4$ .

$- 21 x - 28 + 21 x = - 28$

Combine the opposite terms in $- 21 x - 28 + 21 x$ .

Add $- 21 x$ and $21 x$ .

$0 - 28 = - 28$

Subtract $28$ from $0$ .

$- 28 = - 28$

Since $- 28 = - 28$ , the equation will always be true for any value of $x$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$