b) (6x - 30)÷(2x - 10)
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Step-by-step explanation:
Simplifying
6x + -10 = 2x + -30
Reorder the terms:
-10 + 6x = 2x + -30
Reorder the terms:
-10 + 6x = -30 + 2x
Solving
-10 + 6x = -30 + 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.
-10 + 6x + -2x = -30 + 2x + -2x
Combine like terms: 6x + -2x = 4x
-10 + 4x = -30 + 2x + -2x
Combine like terms: 2x + -2x = 0
-10 + 4x = -30 + 0
-10 + 4x = -30
Add '10' to each side of the equation.
-10 + 10 + 4x = -30 + 10
Combine like terms: -10 + 10 = 0
0 + 4x = -30 + 10
4x = -30 + 10
Combine like terms: -30 + 10 = -20
4x = -20
Divide each side by '4'.
x = -5
Simplifying
x = -5
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