9x-5(2x+1)=2x+1

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Solution for 9x-5(2x+1)=2x+1 equation:


Simplifying
9x + -5(2x + 1) = 2x + 1

Reorder the terms:
9x + -5(1 + 2x) = 2x + 1
9x + (1 * -5 + 2x * -5) = 2x + 1
9x + (-5 + -10x) = 2x + 1

Reorder the terms:
-5 + 9x + -10x = 2x + 1

Combine like terms: 9x + -10x = -1x
-5 + -1x = 2x + 1

Reorder the terms:
-5 + -1x = 1 + 2x

Solving
-5 + -1x = 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.
-5 + -1x + -2x = 1 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-5 + -3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + -3x = 1 + 0
-5 + -3x = 1

Add '5' to each side of the equation.
-5 + 5 + -3x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 1 + 5
-3x = 1 + 5

Combine like terms: 1 + 5 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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