5x-1=(4x+11)2

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Solution for 5x-1=(4x+11)2 equation:


Simplifying
5x + -1 = (4x + 11) * 2

Reorder the terms:
-1 + 5x = (4x + 11) * 2

Reorder the terms:
-1 + 5x = (11 + 4x) * 2

Reorder the terms for easier multiplication:
-1 + 5x = 2(11 + 4x)
-1 + 5x = (11 * 2 + 4x * 2)
-1 + 5x = (22 + 8x)

Solving
-1 + 5x = 22 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + 5x + -8x = 22 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-1 + -3x = 22 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -3x = 22 + 0
-1 + -3x = 22

Add '1' to each side of the equation.
-1 + 1 + -3x = 22 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 22 + 1
-3x = 22 + 1

Combine like terms: 22 + 1 = 23
-3x = 23

Divide each side by '-3'.
x = -7.666666667

Simplifying
x = -7.666666667

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