4x=2-6(x-3)

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


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

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

Combine like terms: 2 + 18 = 20
4x = 20 + -6x

Solving
4x = 20 + -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.
4x + 6x = 20 + -6x + 6x

Combine like terms: 4x + 6x = 10x
10x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
10x = 20 + 0
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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