(x+74)=2x-1

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Solution for (x+74)=2x-1 equation:


Simplifying
(x + 74) = 2x + -1

Reorder the terms:
(74 + x) = 2x + -1

Remove parenthesis around (74 + x)
74 + x = 2x + -1

Reorder the terms:
74 + x = -1 + 2x

Solving
74 + x = -1 + 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.
74 + x + -2x = -1 + 2x + -2x

Combine like terms: x + -2x = -1x
74 + -1x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
74 + -1x = -1 + 0
74 + -1x = -1

Add '-74' to each side of the equation.
74 + -74 + -1x = -1 + -74

Combine like terms: 74 + -74 = 0
0 + -1x = -1 + -74
-1x = -1 + -74

Combine like terms: -1 + -74 = -75
-1x = -75

Divide each side by '-1'.
x = 75

Simplifying
x = 75

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