15x-3(3x-3)=5x+1

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Solution for 15x-3(3x-3)=5x+1 equation:


Simplifying
15x + -3(3x + -3) = 5x + 1

Reorder the terms:
15x + -3(-3 + 3x) = 5x + 1
15x + (-3 * -3 + 3x * -3) = 5x + 1
15x + (9 + -9x) = 5x + 1

Reorder the terms:
9 + 15x + -9x = 5x + 1

Combine like terms: 15x + -9x = 6x
9 + 6x = 5x + 1

Reorder the terms:
9 + 6x = 1 + 5x

Solving
9 + 6x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 6x + -5x = 1 + 5x + -5x

Combine like terms: 6x + -5x = 1x
9 + 1x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + 1x = 1 + 0
9 + 1x = 1

Add '-9' to each side of the equation.
9 + -9 + 1x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 1 + -9
1x = 1 + -9

Combine like terms: 1 + -9 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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