4x=5(x-2)+1

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Solution for 4x=5(x-2)+1 equation:


Simplifying
4x = 5(x + -2) + 1

Reorder the terms:
4x = 5(-2 + x) + 1
4x = (-2 * 5 + x * 5) + 1
4x = (-10 + 5x) + 1

Reorder the terms:
4x = -10 + 1 + 5x

Combine like terms: -10 + 1 = -9
4x = -9 + 5x

Solving
4x = -9 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
4x + -5x = -9 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-1x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1x = -9 + 0
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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