2x-4(2-3x)=4(x-5)-18

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Solution for 2x-4(2-3x)=4(x-5)-18 equation:


Simplifying
2x + -4(2 + -3x) = 4(x + -5) + -18
2x + (2 * -4 + -3x * -4) = 4(x + -5) + -18
2x + (-8 + 12x) = 4(x + -5) + -18

Reorder the terms:
-8 + 2x + 12x = 4(x + -5) + -18

Combine like terms: 2x + 12x = 14x
-8 + 14x = 4(x + -5) + -18

Reorder the terms:
-8 + 14x = 4(-5 + x) + -18
-8 + 14x = (-5 * 4 + x * 4) + -18
-8 + 14x = (-20 + 4x) + -18

Reorder the terms:
-8 + 14x = -20 + -18 + 4x

Combine like terms: -20 + -18 = -38
-8 + 14x = -38 + 4x

Solving
-8 + 14x = -38 + 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.
-8 + 14x + -4x = -38 + 4x + -4x

Combine like terms: 14x + -4x = 10x
-8 + 10x = -38 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 10x = -38 + 0
-8 + 10x = -38

Add '8' to each side of the equation.
-8 + 8 + 10x = -38 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = -38 + 8
10x = -38 + 8

Combine like terms: -38 + 8 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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