If 3(2.5x - 4) - 1.5(x - 2) = 0.8(5x + 10), what is the value of x? — SAT

If $3(2.5x - 4) - 1.5(x - 2) = 0.8(5x + 10)$ , what is the value of $x$ ?

Cevap: 8.5

8.5

By distributing and simplifying terms, the linear equation simplifies to

2x = 17

, which yields

x = 8.5

Distribute the constants on both sides of the equation.

7.5x - 12 - 1.5x + 3 = 4x + 8

To simplify the expressions.

Combine like terms on the left side.

6x - 9 = 4x + 8

To simplify the left side of the equation.

Subtract

4x

from both sides of the equation.

2x - 9 = 8

To group variable terms on one side.

Add 9 to both sides of the equation.

2x = 17

To isolate the term with the variable.

Divide both sides by 2.

x = 8.5

To find the final value of the variable.

Linear Equations in One Variable

Multiply the entire equation by 10 to clear all decimal values:

30(2.5x - 4) - 15(x - 2) = 8(5x + 10)

. Expanding this yields

75x - 120 - 15x + 30 = 40x + 80

, which simplifies to

60x - 90 = 40x + 80

. Subtracting

40x

and adding 90 to both sides gives

20x = 170

, resulting in

x = 8.5

Tahmini Süre:1m 30s

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