5=3(x-5)+1-2x

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Solution for 5=3(x-5)+1-2x equation:


Simplifying
5 = 3(x + -5) + 1 + -2x

Reorder the terms:
5 = 3(-5 + x) + 1 + -2x
5 = (-5 * 3 + x * 3) + 1 + -2x
5 = (-15 + 3x) + 1 + -2x

Reorder the terms:
5 = -15 + 1 + 3x + -2x

Combine like terms: -15 + 1 = -14
5 = -14 + 3x + -2x

Combine like terms: 3x + -2x = 1x
5 = -14 + 1x

Solving
5 = -14 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + -1x = -14 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + -1x = -14 + 0
5 + -1x = -14

Add '-5' to each side of the equation.
5 + -5 + -1x = -14 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -14 + -5
-1x = -14 + -5

Combine like terms: -14 + -5 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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