6x-1=2(2x+3)

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Solution for 6x-1=2(2x+3) equation:


Simplifying
6x + -1 = 2(2x + 3)

Reorder the terms:
-1 + 6x = 2(2x + 3)

Reorder the terms:
-1 + 6x = 2(3 + 2x)
-1 + 6x = (3 * 2 + 2x * 2)
-1 + 6x = (6 + 4x)

Solving
-1 + 6x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 6x + -4x = 6 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-1 + 2x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + 2x = 6 + 0
-1 + 2x = 6

Add '1' to each side of the equation.
-1 + 1 + 2x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 6 + 1
2x = 6 + 1

Combine like terms: 6 + 1 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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