-5x+33=3(x-5)

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Solution for -5x+33=3(x-5) equation:


Simplifying
-5x + 33 = 3(x + -5)

Reorder the terms:
33 + -5x = 3(x + -5)

Reorder the terms:
33 + -5x = 3(-5 + x)
33 + -5x = (-5 * 3 + x * 3)
33 + -5x = (-15 + 3x)

Solving
33 + -5x = -15 + 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.
33 + -5x + -3x = -15 + 3x + -3x

Combine like terms: -5x + -3x = -8x
33 + -8x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
33 + -8x = -15 + 0
33 + -8x = -15

Add '-33' to each side of the equation.
33 + -33 + -8x = -15 + -33

Combine like terms: 33 + -33 = 0
0 + -8x = -15 + -33
-8x = -15 + -33

Combine like terms: -15 + -33 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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