Respuesta :
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
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
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