3=5(x-3)+1-4x

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Solution for 3=5(x-3)+1-4x equation:


Simplifying
3 = 5(x + -3) + 1 + -4x

Reorder the terms:
3 = 5(-3 + x) + 1 + -4x
3 = (-3 * 5 + x * 5) + 1 + -4x
3 = (-15 + 5x) + 1 + -4x

Reorder the terms:
3 = -15 + 1 + 5x + -4x

Combine like terms: -15 + 1 = -14
3 = -14 + 5x + -4x

Combine like terms: 5x + -4x = 1x
3 = -14 + 1x

Solving
3 = -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.
3 + -1x = -14 + 1x + -1x

Combine like terms: 1x + -1x = 0
3 + -1x = -14 + 0
3 + -1x = -14

Add '-3' to each side of the equation.
3 + -3 + -1x = -14 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -14 + -3
-1x = -14 + -3

Combine like terms: -14 + -3 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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