5x-3(-3x+1)=3-3(3x+25)

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Solution for 5x-3(-3x+1)=3-3(3x+25) equation:


Simplifying
5x + -3(-3x + 1) = 3 + -3(3x + 25)

Reorder the terms:
5x + -3(1 + -3x) = 3 + -3(3x + 25)
5x + (1 * -3 + -3x * -3) = 3 + -3(3x + 25)
5x + (-3 + 9x) = 3 + -3(3x + 25)

Reorder the terms:
-3 + 5x + 9x = 3 + -3(3x + 25)

Combine like terms: 5x + 9x = 14x
-3 + 14x = 3 + -3(3x + 25)

Reorder the terms:
-3 + 14x = 3 + -3(25 + 3x)
-3 + 14x = 3 + (25 * -3 + 3x * -3)
-3 + 14x = 3 + (-75 + -9x)

Combine like terms: 3 + -75 = -72
-3 + 14x = -72 + -9x

Solving
-3 + 14x = -72 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-3 + 14x + 9x = -72 + -9x + 9x

Combine like terms: 14x + 9x = 23x
-3 + 23x = -72 + -9x + 9x

Combine like terms: -9x + 9x = 0
-3 + 23x = -72 + 0
-3 + 23x = -72

Add '3' to each side of the equation.
-3 + 3 + 23x = -72 + 3

Combine like terms: -3 + 3 = 0
0 + 23x = -72 + 3
23x = -72 + 3

Combine like terms: -72 + 3 = -69
23x = -69

Divide each side by '23'.
x = -3

Simplifying
x = -3

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