Question

Solve for x
8x+4=6x-10
x=?

Answer 1

Simplifying
8x + 4 = 6x + -10

Reorder the terms:
4 + 8x = 6x + -10

Reorder the terms:
4 + 8x = -10 + 6x

Solving
4 + 8x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 8x + -6x = -10 + 6x + -6x

Combine like terms: 8x + -6x = 2x
4 + 2x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 2x = -10 + 0
4 + 2x = -10

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 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

Answer 2

8x+4 = 6x-10

To solve for x you'll want to move all the terms containing x onto the left side of the equation and all the other terms on the right side of the equation.

1. Subtract 6x from both sides.

2x+4 = -10

2. Subtract 4 from both sides.

2x = -14

3. Divide both sides by 2.

x = -7

Answer is:

-7