Solving Linear Equations: Practice

Subtract $8$ from both sides, then divide by $5$.

$5x = -5, \qquad x = -1$

Distribute the $2$, then solve the two-step equation.

$2x + 6 = 14, \qquad 2x = 8, \qquad x = 4$

Distribute the $3$, then solve.

$3x - 6 = 9, \qquad 3x = 15, \qquad x = 5$

Subtract $5$ from both sides, then divide by $-2$.

$-2x = 6, \qquad x = -3$

Subtract $3x$, subtract $2$, then divide by $2$.

$2x + 2 = 14, \qquad 2x = 12, \qquad x = 6$

Subtract $2x$ from both sides, then divide by $5$.

$5x - 10 = 0, \qquad 5x = 10, \qquad x = 2$

Distribute, subtract $3x$, then subtract $4$.

$4x + 4 = 3x + 9, \qquad x + 4 = 9, \qquad x = 5$

Subtract $8$ from both sides, then divide by $-3$.

$-3x = -6, \qquad x = 2$

Subtract $x$, subtract $4$, then divide by $2$.

$2x + 4 = 10, \qquad 2x = 6, \qquad x = 3$

Subtract $6x$, add $4$, then divide by $4$.

$4x - 4 = 8, \qquad 4x = 12, \qquad x = 3$

Distribute, subtract $3x$, then divide by $3$.

$6x - 12 = 3x, \qquad 3x = 12, \qquad x = 4$

Distribute the minus sign, combine like terms, then solve.

$5x - x - 2 = 10, \qquad 4x - 2 = 10, \qquad 4x = 12, \qquad x = 3$