2x-4(x-2)=3+2x-13

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Solution for 2x-4(x-2)=3+2x-13 equation: 


Simplifying
2x + -4(x + -2) = 3 + 2x + -13

Reorder the terms:
2x + -4(-2 + x) = 3 + 2x + -13
2x + (-2 * -4 + x * -4) = 3 + 2x + -13
2x + (8 + -4x) = 3 + 2x + -13

Reorder the terms:
8 + 2x + -4x = 3 + 2x + -13

Combine like terms: 2x + -4x = -2x
8 + -2x = 3 + 2x + -13

Reorder the terms:
8 + -2x = 3 + -13 + 2x

Combine like terms: 3 + -13 = -10
8 + -2x = -10 + 2x

Solving
8 + -2x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + -2x + -2x = -10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
8 + -4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -4x = -10 + 0
8 + -4x = -10

Add '-8' to each side of the equation.
8 + -8 + -4x = -10 + -8

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

Combine like terms: -10 + -8 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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