9x-4(2y+1)=2x-1

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Solution for 9x-4(2y+1)=2x-1 equation:


Simplifying
9x + -4(2y + 1) = 2x + -1

Reorder the terms:
9x + -4(1 + 2y) = 2x + -1
9x + (1 * -4 + 2y * -4) = 2x + -1
9x + (-4 + -8y) = 2x + -1

Reorder the terms:
-4 + 9x + -8y = 2x + -1

Reorder the terms:
-4 + 9x + -8y = -1 + 2x

Solving
-4 + 9x + -8y = -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.
-4 + 9x + -2x + -8y = -1 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-4 + 7x + -8y = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 7x + -8y = -1 + 0
-4 + 7x + -8y = -1

Add '4' to each side of the equation.
-4 + 7x + 4 + -8y = -1 + 4

Reorder the terms:
-4 + 4 + 7x + -8y = -1 + 4

Combine like terms: -4 + 4 = 0
0 + 7x + -8y = -1 + 4
7x + -8y = -1 + 4

Combine like terms: -1 + 4 = 3
7x + -8y = 3

Add '8y' to each side of the equation.
7x + -8y + 8y = 3 + 8y

Combine like terms: -8y + 8y = 0
7x + 0 = 3 + 8y
7x = 3 + 8y

Divide each side by '7'.
x = 0.4285714286 + 1.142857143y

Simplifying
x = 0.4285714286 + 1.142857143y

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