The value of x that will make the statement true is 1
Step-by-step explanation:
The given is:
- f(x) = x - 4
- g(x) = 2x + 3
We need to find the value of x which makes [f(x) + 2g(x)] = 7
∵ f(x) = x - 4
∵ g(x) = 2x + 3
∵ f(x) + 2g(x) = 7
- Multiply g(x) by 2
∵ 2g(x) = 2(2x + 3) = 2(2x) + 2(3) = 4x + 6
∴ 2g(x) = 4x + 6
∵ f(x) + 2g(x) = 7
∴ (x - 4) + (4x + 6) = 7
- Add the like terms in the left hand side
∴ (x + 4x) + (-4 + 6) = 7
∴ 5x + 2 = 7
- Subtract 2 from both sides
∴ 5x = 5
- Divide both sides by 5
∴ x = 1
The value of x that will make the statement true is 1
Learn more:
You can learn more about the equations in brainly.com/question/1284310
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