Solving Equations with Variables on Both Sides and Distribution

Conquer equations with variables on both sides & distribution! Practice solving and matching.

Solving Equations with Variables on Both Sides and Distribution. Watch this video to review how to solve an equation when there is a variable on both sides and distribution. Fill in the blanks. When solving an equation with distributing and combining like terms, the first step is to distribute.Step two is to combine like terms.Then you solve for the variable. Solve the following problems. Matching equations and solutions. Distribute, combine, and solve each equation. Match each equation with the correct solution. 2(x + 2) - 5 = 3(x + 1) -4 -3x - 4(4x - 8) = 3(-8x - 1) -7 4(3x - 7) + 5x = - (-6x - 5) 3 6x - 3(3x - 4) = 2(x - 7) - 4 6 0.25(8 - 5x) + 2 = 0.5(6 - 2x) 4 x − 3 = 4 x = -1 x = 1 x = -7 x = 7 −11k = 44 k = -4 k = 4 k = -33 k = 55 k + 1 = −7 k = -6 k = 6 k = -8 k = 8 3x = 18 x = 6 x = 21 x = 15 x = 54 4n − 8 = −8 n = 0 x = 4 x = -4 x = 2 −5x + 8 = −17 x = 5 x = 5 x = -5 x = 9 −6n − 2n = 16 n = -4 n = 2 n = -2 n = 4 b − 9 = −2b + 3 b = -3 b = 2 b = -2 b = 4 2x + 1 = x - 1 x = -2 x = 2 x = 0 x = 4 1. 3x + 6 = 2x + 4 x = -2 x = 2 x = -6 x = 6 2. 5x + 2 = 2x + 20 x = 5 x = 10 x = 6 x = 13 3. -3(1 -2x) = 2x + 1 x = 1 x = -1 x = 2 x = -2 4. 3(2x + 10) = -8(x - 2) x = -5 x = 5 x = 2 x = -2 How many packages of diapers can you buy with $40 if one package costs $8? 32 packages 400 packages 5 packages 48 packages