Find the value of x in:
x + 10 = 2x - 5
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Answer:
x + 10 = 2x - 5
10 + 5 = 2x - x
x = 15
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Simplifying
x + 10 = -2x + -5
Reorder the terms:
10 + x = -2x + -5
Reorder the terms:
10 + x = -5 + -2x
Solving
10 + x = -5 + -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 + x + 2x = -5 + -2x + 2x
Combine like terms: x + 2x = 3x
10 + 3x = -5 + -2x + 2x
Combine like terms: -2x + 2x = 0
10 + 3x = -5 + 0
10 + 3x = -5
Add '-10' to each side of the equation.
10 + -10 + 3x = -5 + -10
Combine like terms: 10 + -10 = 0
0 + 3x = -5 + -10
3x = -5 + -10
Combine like terms: -5 + -10 = -15
3x = -15
Divide each side by '3'.
x = -5
Simplifying
x = -5
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