# Solving Equations With Variables on Both Sides

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### Solving Equations With Variables on Both Sides:

Solving Equations With Variables on Both Sides By: Melissa Barnhart

### Solve the following equation:

Solve the following equation 5x – 3x + 2 = -2(x + 7)

### Solve the following equation:

Solve the following equation 5x – 3x + 2 = -2(x + 7) Step 1 : Distribute ---------- 5x – 3x + 2 = -2x – 14

### Solve the following equation:

Solve the following equation 5x – 3x + 2 = -2(x + 7) Step 1 : Distribute ---------- 5x – 3x + 2 = -2x – 14 Step 2 : Combine like terms --- 2x + 2 = -2x – 14

### Solve the following equation:

Solve the following equation 5x – 3x + 2 = -2(x + 7) Step 1 : Distribute ---------- 5x – 3x + 2 = -2x – 14 Step 2 : Combine like terms --- 2x + 2 = -2x – 14 Step 3 : Move variable to the left  +2x +2x . 4x + 2 = -14

### Solve the following equation:

Solve the following equation 5x – 3x + 2 = -2(x + 7) Step 1 : Distribute ---------- 5x – 3x + 2 = -2x – 14 Step 2 : Combine like terms --- 2x + 2 = -2x – 14 Step 3 : Move variable to the left  +2x +2x . 4x + 2 = -14 Step 4 : Undo + or – ------------- –2 –2 4x = -16

### Solve the following equation:

Solve the following equation 5x – 3x + 2 = -2(x + 7) Step 1 : Distribute ---------- 5x – 3x + 2 = -2x – 14 Step 2 : Combine like terms --- 2x + 2 = -2x – 14 Step 3 : Move variable to the left  +2x +2x . 4x + 2 = -14 Step 4 : Undo + or – ------------- –2 –2 4x = -16 Step 5 : Undo x or ÷ ----------------- ÷ 4 ÷ 4 x = -4 