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

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


Simplifying
3(x + -3) + (x + -5) * 5 = 0

Reorder the terms:
3(-3 + x) + (x + -5) * 5 = 0
(-3 * 3 + x * 3) + (x + -5) * 5 = 0
(-9 + 3x) + (x + -5) * 5 = 0

Reorder the terms:
-9 + 3x + (-5 + x) * 5 = 0

Reorder the terms for easier multiplication:
-9 + 3x + 5(-5 + x) = 0
-9 + 3x + (-5 * 5 + x * 5) = 0
-9 + 3x + (-25 + 5x) = 0

Reorder the terms:
-9 + -25 + 3x + 5x = 0

Combine like terms: -9 + -25 = -34
-34 + 3x + 5x = 0

Combine like terms: 3x + 5x = 8x
-34 + 8x = 0

Solving
-34 + 8x = 0

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 8x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 8x = 0 + 34
8x = 0 + 34

Combine like terms: 0 + 34 = 34
8x = 34

Divide each side by '8'.
x = 4.25

Simplifying
x = 4.25

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