3x-5(x-3)=-8+5x-33

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Solution for 3x-5(x-3)=-8+5x-33 equation:


Simplifying
3x + -5(x + -3) = -8 + 5x + -33

Reorder the terms:
3x + -5(-3 + x) = -8 + 5x + -33
3x + (-3 * -5 + x * -5) = -8 + 5x + -33
3x + (15 + -5x) = -8 + 5x + -33

Reorder the terms:
15 + 3x + -5x = -8 + 5x + -33

Combine like terms: 3x + -5x = -2x
15 + -2x = -8 + 5x + -33

Reorder the terms:
15 + -2x = -8 + -33 + 5x

Combine like terms: -8 + -33 = -41
15 + -2x = -41 + 5x

Solving
15 + -2x = -41 + 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.
15 + -2x + -5x = -41 + 5x + -5x

Combine like terms: -2x + -5x = -7x
15 + -7x = -41 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -7x = -41 + 0
15 + -7x = -41

Add '-15' to each side of the equation.
15 + -15 + -7x = -41 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -41 + -15
-7x = -41 + -15

Combine like terms: -41 + -15 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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