6-2(x-3)=4x-18

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Solution for 6-2(x-3)=4x-18 equation:


Simplifying
6 + -2(x + -3) = 4x + -18

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

Combine like terms: 6 + 6 = 12
12 + -2x = 4x + -18

Reorder the terms:
12 + -2x = -18 + 4x

Solving
12 + -2x = -18 + 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.
12 + -2x + -4x = -18 + 4x + -4x

Combine like terms: -2x + -4x = -6x
12 + -6x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -6x = -18 + 0
12 + -6x = -18

Add '-12' to each side of the equation.
12 + -12 + -6x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -18 + -12
-6x = -18 + -12

Combine like terms: -18 + -12 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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