8x + 4(x – 1) = 15x – 10

x = 2

Step-by-step explanation:

Solve for x:

8 x + 4 (x - 1) = 15 x - 10

Hint: | Distribute 4 over x - 1.

4 (x - 1) = 4 x - 4:

4 x - 4 + 8 x = 15 x - 10

Hint: | Group like terms in 8 x + 4 x - 4.

Grouping like terms, 8 x + 4 x - 4 = (8 x + 4 x) - 4:

(8 x + 4 x) - 4 = 15 x - 10

Hint: | Add like terms in 8 x + 4 x.

8 x + 4 x = 12 x:

12 x - 4 = 15 x - 10

Hint: | Move terms with x to the left hand side.

Subtract 15 x from both sides:

(12 x - 15 x) - 4 = (15 x - 15 x) - 10

Hint: | Combine like terms in 12 x - 15 x.

12 x - 15 x = -3 x:

-3 x - 4 = (15 x - 15 x) - 10

Hint: | Look for the difference of two identical terms.

15 x - 15 x = 0:

-3 x - 4 = -10

Hint: | Isolate terms with x to the left hand side.

Add 4 to both sides:

(4 - 4) - 3 x = 4 - 10

Hint: | Look for the difference of two identical terms.

4 - 4 = 0:

-3 x = 4 - 10

Hint: | Evaluate 4 - 10.

4 - 10 = -6:

-3 x = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 x = -6 by -3:

(-3 x)/(-3) = (-6)/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

x = (-6)/(-3)

Hint: | Reduce (-6)/(-3) to lowest terms. Start by finding the GCD of -6 and -3.

The gcd of -6 and -3 is -3, so (-6)/(-3) = (-3×2)/(-3×1) = (-3)/(-3)×2 = 2:

 x = 2