5x-14=x-(24+4x)
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Answers
5x-14=x-(24+4x)
5x-14=x-24-4x
5x-14=x-4x-24
5x-14=-3x-24
5x+3x=-24+14
8x=-10
x=
x=
Answer:
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Step-by-step explanation:
Simplifying
5x + -14 = x + -1(24 + 4x)
Reorder the terms:
-14 + 5x = x + -1(24 + 4x)
-14 + 5x = x + (24 * -1 + 4x * -1)
-14 + 5x = x + (-24 + -4x)
Reorder the terms:
-14 + 5x = -24 + x + -4x
Combine like terms: x + -4x = -3x
-14 + 5x = -24 + -3x
Solving
-14 + 5x = -24 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
-14 + 5x + 3x = -24 + -3x + 3x
Combine like terms: 5x + 3x = 8x
-14 + 8x = -24 + -3x + 3x
Combine like terms: -3x + 3x = 0
-14 + 8x = -24 + 0
-14 + 8x = -24
Add '14' to each side of the equation.
-14 + 14 + 8x = -24 + 14
Combine like terms: -14 + 14 = 0
0 + 8x = -24 + 14
8x = -24 + 14
Combine like terms: -24 + 14 = -10
8x = -10
Divide each side by '8'.
x = -1.25
Simplifying
x = -1.25