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

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


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

Reorder the terms:
5(-4 + x) + 1 = 3x + -1
(-4 * 5 + x * 5) + 1 = 3x + -1
(-20 + 5x) + 1 = 3x + -1

Reorder the terms:
-20 + 1 + 5x = 3x + -1

Combine like terms: -20 + 1 = -19
-19 + 5x = 3x + -1

Reorder the terms:
-19 + 5x = -1 + 3x

Solving
-19 + 5x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-19 + 5x + -3x = -1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-19 + 2x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-19 + 2x = -1 + 0
-19 + 2x = -1

Add '19' to each side of the equation.
-19 + 19 + 2x = -1 + 19

Combine like terms: -19 + 19 = 0
0 + 2x = -1 + 19
2x = -1 + 19

Combine like terms: -1 + 19 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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