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

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


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

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

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

Reorder the terms for easier multiplication:
-1 + 2x = 2(-4 + 5x)
-1 + 2x = (-4 * 2 + 5x * 2)
-1 + 2x = (-8 + 10x)

Solving
-1 + 2x = -8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-1 + 2x + -10x = -8 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-1 + -8x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + -8x = -8 + 0
-1 + -8x = -8

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

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

Combine like terms: -8 + 1 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875

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