2(x-3)+2=4(2x-1)-18

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Solution for 2(x-3)+2=4(2x-1)-18 equation: 


Simplifying
2(x + -3) + 2 = 4(2x + -1) + -18

Reorder the terms:
2(-3 + x) + 2 = 4(2x + -1) + -18
(-3 * 2 + x * 2) + 2 = 4(2x + -1) + -18
(-6 + 2x) + 2 = 4(2x + -1) + -18

Reorder the terms:
-6 + 2 + 2x = 4(2x + -1) + -18

Combine like terms: -6 + 2 = -4
-4 + 2x = 4(2x + -1) + -18

Reorder the terms:
-4 + 2x = 4(-1 + 2x) + -18
-4 + 2x = (-1 * 4 + 2x * 4) + -18
-4 + 2x = (-4 + 8x) + -18

Reorder the terms:
-4 + 2x = -4 + -18 + 8x

Combine like terms: -4 + -18 = -22
-4 + 2x = -22 + 8x

Solving
-4 + 2x = -22 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 2x + -8x = -22 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-4 + -6x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -6x = -22 + 0
-4 + -6x = -22

Add '4' to each side of the equation.
-4 + 4 + -6x = -22 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = -22 + 4
-6x = -22 + 4

Combine like terms: -22 + 4 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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