2x-6=4(x-3)

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


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

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

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

Solving
-6 + 2x = -12 + 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.
-6 + 2x + -4x = -12 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-6 + -2x = -12 + 0
-6 + -2x = -12

Add '6' to each side of the equation.
-6 + 6 + -2x = -12 + 6

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

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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