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Solve for x

x
: 4(3x+2)+3=35
4
(
3
x
+
2
)
+
3
=
35
.(1 point)

1 answer

To solve the equation \( 4(3x + 2) + 3 = 35 \), follow these steps:

  1. Start with the given equation: \[ 4(3x + 2) + 3 = 35 \]

  2. Distribute the 4: \[ 12x + 8 + 3 = 35 \]

  3. Combine like terms (8 and 3): \[ 12x + 11 = 35 \]

  4. Subtract 11 from both sides to isolate the term with \( x \): \[ 12x = 35 - 11 \] \[ 12x = 24 \]

  5. Divide both sides by 12 to solve for \( x \): \[ x = \frac{24}{12} \] \[ x = 2 \]

Thus, the solution is: \[ x = 2 \]