4x-5=2(2x-1)3

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Solution for 4x-5=2(2x-1)3 equation:


Simplifying
4x + -5 = 2(2x + -1) * 3

Reorder the terms:
-5 + 4x = 2(2x + -1) * 3

Reorder the terms:
-5 + 4x = 2(-1 + 2x) * 3

Reorder the terms for easier multiplication:
-5 + 4x = 2 * 3(-1 + 2x)

Multiply 2 * 3
-5 + 4x = 6(-1 + 2x)
-5 + 4x = (-1 * 6 + 2x * 6)
-5 + 4x = (-6 + 12x)

Solving
-5 + 4x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-5 + 4x + -12x = -6 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-5 + -8x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + -8x = -6 + 0
-5 + -8x = -6

Add '5' to each side of the equation.
-5 + 5 + -8x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = -6 + 5
-8x = -6 + 5

Combine like terms: -6 + 5 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125

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