x-4=2(x-3)

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


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

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

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

Solving
-4 + x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + x + -2x = -6 + 2x + -2x

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

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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