a) $$ x+12=6-3 x $$ b) $$ 2 x-5=3 x+3 $$

Question

UpStudy AI · Accepted Answer

**a) Solve $$ x+12=6-3x $$:**

1. Add $$ 3x $$ to both sides to combine the $$ x $$-terms:
   $$
   x + 3x + 12 = 6
   $$
   which simplifies to:
   $$
   4x + 12 = 6
   $$

2. Subtract $$ 12 $$ from both sides:
   $$
   4x = 6 - 12 = -6
   $$

3. Divide both sides by $$ 4 $$ to isolate $$ x $$:
   $$
   x = \frac{-6}{4} = -\frac{3}{2}
   $$

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**b) Solve $$ 2x-5=3x+3 $$:**

1. Subtract $$ 2x $$ from both sides to collect the $$ x $$-terms on one side:
   $$
   -5 = x + 3
   $$

2. Subtract $$ 3 $$ from both sides to isolate $$ x $$:
   $$
   x = -5 - 3 = -8
   $$
**a) $$ x = -\frac{3}{2} $$** **b) $$ x = -8 $$**

a) \( x+12=6-3 x \) b) \( 2 x-5=3 x+3 \)