Solving Linear Equations: Practice

Distribute on each side, then gather the variable.

$4x - 4 = 2x + 6, \qquad 2x = 10, \qquad x = 5$

Distribute on each side, then collect the variable on the right.

$3x + 12 = 5x - 10, \qquad 22 = 2x, \qquad x = 11$

Distribute the $-3$, combine like terms, then divide by $-2$.

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

Simplify the right side first, then gather the variable.

$6x - 5 = 5x + 3, \qquad x = 8$

Distribute the $-2$, combine, then divide by $-2$.

$9 - 2x + 2 = 3, \qquad 11 - 2x = 3, \qquad -2x = -8, \qquad x = 4$

Distribute the $3$, subtract $x$, then solve.

$3x - 15 = x - 3, \qquad 2x = 12, \qquad x = 6$

Distribute both products, combine like terms, then solve.

$2x + 6 + 3x - 3 = 18, \qquad 5x + 3 = 18, \qquad x = 3$

Distribute the minus sign, combine, then divide by $-2$.

$10 - 2x - 3 = 1, \qquad 7 - 2x = 1, \qquad -2x = -6, \qquad x = 3$

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

$5x - 2 = 4x + 8, \qquad x = 10$

Set the two expressions equal and solve.

$4x + 1 = 2x + 9, \qquad 2x = 8, \qquad x = 4$

Distribute on each side, then move the variable to one side.

$-3x + 6 = 8 - 2x, \qquad 6 = 8 + x, \qquad x = -2$

Distribute both products, combine like terms, then solve.

$5x + 5 - 2x + 6 = 20, \qquad 3x + 11 = 20, \qquad x = 3$