5=4(x-5)+1-2x

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Solution for 5=4(x-5)+1-2x equation:


Simplifying
5 = 4(x + -5) + 1 + -2x

Reorder the terms:
5 = 4(-5 + x) + 1 + -2x
5 = (-5 * 4 + x * 4) + 1 + -2x
5 = (-20 + 4x) + 1 + -2x

Reorder the terms:
5 = -20 + 1 + 4x + -2x

Combine like terms: -20 + 1 = -19
5 = -19 + 4x + -2x

Combine like terms: 4x + -2x = 2x
5 = -19 + 2x

Solving
5 = -19 + 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.
5 + -2x = -19 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -2x = -19 + 0
5 + -2x = -19

Add '-5' to each side of the equation.
5 + -5 + -2x = -19 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -19 + -5
-2x = -19 + -5

Combine like terms: -19 + -5 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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