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

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

Solving
2 + 4x = -18 + 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.
2 + 4x + -6x = -18 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + -2x = -18 + 0
2 + -2x = -18

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

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

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

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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