$$ 4 imes $$ Solve for $$ x $$ $$ 2(6-2 x)+3 x=4+2(5+x) $$

Question

$$ 4 	imes $$ Solve for $$ x $$ $$ 2(6-2 x)+3 x=4+2(5+x) $$

UpStudy AI · Accepted Answer

1. Expand both sides of the equation:
   $$
   2(6-2x) + 3x = 4 + 2(5+x)
   $$
   Left side:
   $$
   2 \times 6 - 2 \times 2x + 3x = 12 - 4x + 3x = 12 - x
   $$
   Right side:
   $$
   4 + 2 \times 5 + 2 \times x = 4 + 10 + 2x = 14 + 2x
   $$

2. Set the simplified expressions equal:
   $$
   12 - x = 14 + 2x
   $$

3. Solve for $$ x $$:
   $$
   12 - x - 14 = 2x
   $$
   $$
   -2 - x = 2x
   $$
   Add $$ x $$ to both sides:
   $$
   -2 = 3x
   $$
   Divide by $$ 3 $$:
   $$
   x = -\frac{2}{3}
   $$

The solution is:
$$
x = -\frac{2}{3}
$$
$$ x = -\frac{2}{3} $$

\( 4 \times \) Solve for \( x \) \( 2(6-2 x)+3 x=4+2(5+x) \)

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