Solve 10left|x-3right|=40 | Microsoft Math Solver

10 ∣ x - 3 ∣ = 40

Solve for x

x = - 1

x = 7

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10 ∣ x - 3 ∣ = 40

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How do you solve

∣ 2 x - 3 ∣ = x + 5

and find any extraneous solutions?

https://socratic.org/questions/how-do-you-solve-2x-3-x-5-and-find-any-extraneous-solutions

x = 8

x = - \frac{2}{3}

(neither solution is extraneous) Explanation: Consider the two possibilities for

2 x - 3

if 2 x - 3 \geq 0 ∣ 2 x - 3 ∣ = x + 5 \to 2 x - 3 = x + 5 \to x = 8 (xxx) if 2 x - 3 < 0 ∣ 2 x - 3 ∣ = x + 5 \to 3 - 2 x = x + 5 \to - 2 = 3 x \to x = - \frac{2}{3}

How do you solve

∣ 2 x - 3 ∣ = 5

https://socratic.org/questions/how-do-you-solve-abs-2x-3-5

x = - 1

x = 4

Explanation: As explained below: Step 1: Clear the absolute value bars

∣ 2 x - 3 ∣ = 5

For negative part, lets ...

How do you solve

∣ 2 x - 3 ∣ \leq 4

https://socratic.org/questions/how-do-you-solve-abs-2x-3-4

KillerBunny Feb 4, 2015 First of all, you have to determine the absolute value. Since

∣ a ∣ = a

a > 0

- a

a < 0

How do you solve

∣ x - 3 ∣ + 1 = 3

https://socratic.org/questions/how-do-you-solve-x-3-1-3

x = 5

x = 1

Explanation: First, isolate the absolute value term on the left side of the equation:

∣ x - 3 ∣ + 1 - 1 = 3 - 1

How do you solve

∣ x - 3 ∣ - 6 = 2

https://socratic.org/questions/how-do-you-solve-abs-x-3-6-2

See a solution process below: Explanation: First, add

(6)

to each side of the equation to isolate the absolute value function while keeping the equation balanced:

∣ x - 3 ∣ - 6 + (6) = 2 + (6)

How do you solve

2 ∣ x - 5 ∣ > 32

https://socratic.org/questions/how-do-you-solve-2abs-x-5-32

Don't Memorise Apr 29, 2015 We can divide both sides by 2 to get

∣ x - 5 ∣ > \frac{3 2}{2}

\to ∣ x - 5 ∣ > 16

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10|x-3|=40

Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.

|x-3|=4

Divide both sides by 10.

x-3=4 x-3=-4

Use the definition of absolute value.

x=7 x=-1

Add 3 to both sides of the equation.

Examples

Quadratic equation

x^{2} - 4 x - 5 = 0

4 sin θ cos θ = 2 sin θ

Linear equation

y = 3 x + 4

699 * 533

[2534] [2 - 1 0135]

Simultaneous equation

{8 x + 2 y = 46 7 x + 3 y = 47

Differentiation

\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

\int_{0}^{1} x e^{- x^{2}} d x

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}