6(2x-3)=2(4x-1)

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Solution for 6(2x-3)=2(4x-1) equation:


Simplifying
6(2x + -3) = 2(4x + -1)

Reorder the terms:
6(-3 + 2x) = 2(4x + -1)
(-3 * 6 + 2x * 6) = 2(4x + -1)
(-18 + 12x) = 2(4x + -1)

Reorder the terms:
-18 + 12x = 2(-1 + 4x)
-18 + 12x = (-1 * 2 + 4x * 2)
-18 + 12x = (-2 + 8x)

Solving
-18 + 12x = -2 + 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.
-18 + 12x + -8x = -2 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-18 + 4x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-18 + 4x = -2 + 0
-18 + 4x = -2

Add '18' to each side of the equation.
-18 + 18 + 4x = -2 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = -2 + 18
4x = -2 + 18

Combine like terms: -2 + 18 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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