Answer:
x=-7
Explanation:
Simplifying
3(x + -2) = 5x + 8
Reorder the terms:
3(-2 + x) = 5x + 8
(-2 * 3 + x * 3) = 5x + 8
(-6 + 3x) = 5x + 8
Reorder the terms:
-6 + 3x = 8 + 5x
Solving
-6 + 3x = 8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-6 + 3x + -5x = 8 + 5x + -5x
Combine like terms: 3x + -5x = -2x
-6 + -2x = 8 + 5x + -5x
Combine like terms: 5x + -5x = 0
-6 + -2x = 8 + 0
-6 + -2x = 8
Add '6' to each side of the equation.
-6 + 6 + -2x = 8 + 6
Combine like terms: -6 + 6 = 0
0 + -2x = 8 + 6
-2x = 8 + 6
Combine like terms: 8 + 6 = 14
-2x = 14
Divide each side by '-2'.
x = -7
Simplifying
x = -7