Answer:
x=7
Explanation:
Simplifying
4 + -7x + 10 = 15 + -6x + -8
Reorder the terms:
4 + 10 + -7x = 15 + -6x + -8
Combine like terms: 4 + 10 = 14
14 + -7x = 15 + -6x + -8
Reorder the terms:
14 + -7x = 15 + -8 + -6x
Combine like terms: 15 + -8 = 7
14 + -7x = 7 + -6x
Solving
14 + -7x = 7 + -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.
14 + -7x + 6x = 7 + -6x + 6x
Combine like terms: -7x + 6x = -1x
14 + -1x = 7 + -6x + 6x
Combine like terms: -6x + 6x = 0
14 + -1x = 7 + 0
14 + -1x = 7
Add '-14' to each side of the equation.
14 + -14 + -1x = 7 + -14
Combine like terms: 14 + -14 = 0
0 + -1x = 7 + -14
-1x = 7 + -14
Combine like terms: 7 + -14 = -7
-1x = -7
Divide each side by '-1'.
x =7
Simplifying
x = 7