3x-5(x-3)=-8+4x-25

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Solution for 3x-5(x-3)=-8+4x-25 equation:


Simplifying
3x + -5(x + -3) = -8 + 4x + -25

Reorder the terms:
3x + -5(-3 + x) = -8 + 4x + -25
3x + (-3 * -5 + x * -5) = -8 + 4x + -25
3x + (15 + -5x) = -8 + 4x + -25

Reorder the terms:
15 + 3x + -5x = -8 + 4x + -25

Combine like terms: 3x + -5x = -2x
15 + -2x = -8 + 4x + -25

Reorder the terms:
15 + -2x = -8 + -25 + 4x

Combine like terms: -8 + -25 = -33
15 + -2x = -33 + 4x

Solving
15 + -2x = -33 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + -2x + -4x = -33 + 4x + -4x

Combine like terms: -2x + -4x = -6x
15 + -6x = -33 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -6x = -33 + 0
15 + -6x = -33

Add '-15' to each side of the equation.
15 + -15 + -6x = -33 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -33 + -15
-6x = -33 + -15

Combine like terms: -33 + -15 = -48
-6x = -48

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

Simplifying
x = 8

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