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Equations with brackets and pronumerals on both sides
Solving linear equations with brackets by expanding or dividing first, and equations with the pronumeral on both sides.
Brackets
Solve $3(x + 2) = 21$.
$3x + 6 = 21$
Expand.
$3x = 15$, so $x = 5$.
Pronumerals on both sides
Solve $5x - 4 = 2x + 11$.
$3x - 4 = 11$
Subtract 2x from both sides.
$3x = 15$, so $x = 5$.
Solve $2(a - 3) = 4a + 8$.
$2a - 6 = 4a + 8$
$-6 = 2a + 8$
Subtract 2a.
$-14 = 2a$, so $a = -7$.
Solve $2(x - 1) = 10$
$x = 6$
Pronumerals on both sides
Subtract the smaller one from both sides.
Solve $4x = x + 9$
$x = 3$
Solve $3(x + 2) = 21$.
$x + 2 = 7$.
Solve $5x - 4 = 2x + 11$.
$3x = 15$.
Solve $2(a - 3) = 4a + 8$.
$-14 = 2a$.
Solve $2(x - 1) = 10$.
$x - 1 = 5$.
Solve $4x = x + 9$.
$3x = 9$.
Solve $7y - 3 = 5y + 5$.
$2y = 8$.
Solve $4(m + 1) = 2(m + 4)$.
$4m + 4 = 2m + 8$, so $2m = 4$.
Solve $3 - x = 5$.
$-x = 2$.
New numbers every time. Keep going until you get five in a row.