5(x-1)+9=3(x+3)-1

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Solution for 5(x-1)+9=3(x+3)-1 equation:


Simplifying
5(x + -1) + 9 = 3(x + 3) + -1

Reorder the terms:
5(-1 + x) + 9 = 3(x + 3) + -1
(-1 * 5 + x * 5) + 9 = 3(x + 3) + -1
(-5 + 5x) + 9 = 3(x + 3) + -1

Reorder the terms:
-5 + 9 + 5x = 3(x + 3) + -1

Combine like terms: -5 + 9 = 4
4 + 5x = 3(x + 3) + -1

Reorder the terms:
4 + 5x = 3(3 + x) + -1
4 + 5x = (3 * 3 + x * 3) + -1
4 + 5x = (9 + 3x) + -1

Reorder the terms:
4 + 5x = 9 + -1 + 3x

Combine like terms: 9 + -1 = 8
4 + 5x = 8 + 3x

Solving
4 + 5x = 8 + 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.
4 + 5x + -3x = 8 + 3x + -3x

Combine like terms: 5x + -3x = 2x
4 + 2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 2x = 8 + 0
4 + 2x = 8

Add '-4' to each side of the equation.
4 + -4 + 2x = 8 + -4

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

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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