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2 votes
8x-(6x-4)=10
i need to know what x equals

2 Answers

4 votes

Answer:x=3

Explanation:

Simplifying

8x + -1(6x + -4) = 10

Reorder the terms:

8x + -1(-4 + 6x) = 10

8x + (-4 * -1 + 6x * -1) = 10

8x + (4 + -6x) = 10

Reorder the terms:

4 + 8x + -6x = 10

Combine like terms: 8x + -6x = 2x

4 + 2x = 10

Solving

4 + 2x = 10

Solving for variable 'x'.

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

Add '-4' to each side of the equation.

4 + -4 + 2x = 10 + -4

Combine like terms: 4 + -4 = 0

0 + 2x = 10 + -4

2x = 10 + -4

Combine like terms: 10 + -4 = 6

2x = 6

Divide each side by '2'.

x = 3

Simplifying

x = 3

User Emmanuel F
by
5.9k points
3 votes

Answer:

x=3

Explanation:

Let's solve your equation step-by-step.

8x−(6x−4)=10

Step 1: Simplify both sides of the equation.

8x−(6x−4)=10

8x+−1(6x−4)=10(Distribute the Negative Sign)

8x+−1(6x)+(−1)(−4)=10

8x+−6x+4=10

(8x+−6x)+(4)=10(Combine Like Terms)

2x+4=10

2x+4=10

Step 2: Subtract 4 from both sides.

2x+4−4=10−4

2x=6

Step 3: Divide both sides by 2.

2x

/2 = 6

/2

User Hmind
by
5.4k points