Given the function f(x) = 5x - 3(3x+7), Determine the value of x when f(x) =-18.

Step-by-step explanation:

Simplifying

f(x) = 5x + -3(3x + 7)

Multiply f * x

fx = 5x + -3(3x + 7)

Reorder the terms:

fx = 5x + -3(7 + 3x)

fx = 5x + (7 * -3 + 3x * -3)

fx = 5x + (-21 + -9x)

Reorder the terms:

fx = -21 + 5x + -9x

Combine like terms: 5x + -9x = -4x

fx = -21 + -4x

Solving

fx = -21 + -4x

Solving for variable 'f'.

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

Divide each side by 'x'.

f = -21x-1 + -4

Simplifying

f = -21x-1 + -4

Reorder the terms:

f = -4 + -21x-1

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step-by-step explanation:

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step-by-step explanation: