Answer: x = -9
steps
Simplifying
14 + -2(x + 8) = 5x + -1(3x + -34)
Reorder the terms:
14 + -2(8 + x) = 5x + -1(3x + -34)
14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)
14 + (-16 + -2x) = 5x + -1(3x + -34)
Combine like terms: 14 + -16 = -2
-2 + -2x = 5x + -1(3x + -34)
Reorder the terms:
-2 + -2x = 5x + -1(-34 + 3x)
-2 + -2x = 5x + (-34 * -1 + 3x * -1)
-2 + -2x = 5x + (34 + -3x)
Reorder the terms:
-2 + -2x = 34 + 5x + -3x
Combine like terms: 5x + -3x = 2x
-2 + -2x = 34 + 2x
Solving
-2 + -2x = 34 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-2 + -2x + -2x = 34 + 2x + -2x
Combine like terms: -2x + -2x = -4x
-2 + -4x = 34 + 2x + -2x
Combine like terms: 2x + -2x = 0
-2 + -4x = 34 + 0
-2 + -4x = 34
Add '2' to each side of the equation.
-2 + 2 + -4x = 34 + 2
Combine like terms: -2 + 2 = 0
0 + -4x = 34 + 2
-4x = 34 + 2
Combine like terms: 34 + 2 = 36
-4x = 36
Divide each side by '-4'.
x = -9
