3(x-4)= 2(x + 5)
Find the number

x=22

Step-by-step explanation:

Reorder the terms:

3(-4 + x) = 2(x + 5)

(-4 * 3 + x * 3) = 2(x + 5)

(-12 + 3x) = 2(x + 5)

Reorder the terms:

-12 + 3x = 2(5 + x)

-12 + 3x = (5 * 2 + x * 2)

-12 + 3x = (10 + 2x)

Solving

-12 + 3x = 10 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-12 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x

-12 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0

-12 + 1x = 10 + 0

-12 + 1x = 10

Add '12' to each side of the equation.

-12 + 12 + 1x = 10 + 12

Combine like terms: -12 + 12 = 0

0 + 1x = 10 + 12

1x = 10 + 12

Combine like terms: 10 + 12 = 22

1x = 22

Divide each side by '1'.

x = 22

Simplifying

x = 22

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

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step-by-step explanation: