Solving Linear Equations: Additional Practice (Set 1)

Distribute the $2$, then subtract $2x$ from both sides.

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

Distribute on each side, then solve.

$6x - 12 = 2x + 4, \qquad 4x = 16, \qquad x = 4$

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

$4x - x + 6 = 18, \qquad 3x + 6 = 18, \qquad x = 4$

Distribute on each side, then solve; the answer need not be a whole number.

$6x + 3 = 4x + 8, \qquad 2x = 5, \qquad x = \frac{5}{2}$

Distribute on the right, then gather the variable.

$5x - 4 = 2x + 8, \qquad 3x = 12, \qquad x = 4$

Distribute the $-3$, combine, then divide by $-3$.

$8 - 3x + 3 = 2, \qquad 11 - 3x = 2, \qquad -3x = -9, \qquad x = 3$

Distribute on each side, combine, then gather the variable.

$10 - 5x = 3x - 14, \qquad 24 = 8x, \qquad x = 3$

Distribute both products, combine like terms, then solve.

$4x - 12 - 2x + 10 = 6, \qquad 2x - 2 = 6, \qquad x = 4$

Subtract $4x$, add $5$, then divide by $2$.

$2x - 5 = 7, \qquad 2x = 12, \qquad x = 6$

Add $4$, then multiply both sides by $3$.

$\frac{x}{3} = 5, \qquad x = 15$

Distribute and combine on the left, then gather the variable.

$7x - 6 = 3x + 6, \qquad 4x = 12, \qquad x = 3$

Distribute on each side, combine, then gather the variable.

$4x + 7 = 3x + 12, \qquad x = 5$