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

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


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

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

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

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

Solving
-3 + 4x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 4x + -6x = -12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-3 + -2x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -2x = -12 + 0
-3 + -2x = -12

Add '3' to each side of the equation.
-3 + 3 + -2x = -12 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -12 + 3
-2x = -12 + 3

Combine like terms: -12 + 3 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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