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Math  /  Algebra

QuestionSolve for xx 3x+144=2\frac{3 x+14}{4}=2
Simplify your answer as much as possible. x=x= □\square

Studdy Solution

STEP 1

1. The equation involves basic algebraic operations and solving for the variable xx.
2. The equation can be solved through standard algebraic manipulation, such as isolating the variable on one side.

STEP 2

1. Eliminate the fraction by multiplying both sides of the equation by the denominator.
2. Isolate the variable xx on one side of the equation.
3. Simplify the expression to find the value of xx.

STEP 3

Multiply both sides of the equation by the denominator (4) to eliminate the fraction:
3x+144=2 \frac{3x + 14}{4} = 2
4⋅3x+144=4⋅2 4 \cdot \frac{3x + 14}{4} = 4 \cdot 2
This simplifies to:
3x+14=8 3x + 14 = 8

STEP 4

Isolate the variable xx by subtracting 14 from both sides of the equation:
3x+14−14=8−14 3x + 14 - 14 = 8 - 14
This simplifies to:
3x=−6 3x = -6

STEP 5

Solve for xx by dividing both sides of the equation by 3:
x=−63 x = \frac{-6}{3}
This simplifies to:
x=−2 x = -2
The solution is: x=−2 x = -2

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