5(x-5)-(x-3)=

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


Simplifying
5(x + -5) + -1(x + -3) = 0

Reorder the terms:
5(-5 + x) + -1(x + -3) = 0
(-5 * 5 + x * 5) + -1(x + -3) = 0
(-25 + 5x) + -1(x + -3) = 0

Reorder the terms:
-25 + 5x + -1(-3 + x) = 0
-25 + 5x + (-3 * -1 + x * -1) = 0
-25 + 5x + (3 + -1x) = 0

Reorder the terms:
-25 + 3 + 5x + -1x = 0

Combine like terms: -25 + 3 = -22
-22 + 5x + -1x = 0

Combine like terms: 5x + -1x = 4x
-22 + 4x = 0

Solving
-22 + 4x = 0

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 4x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 4x = 0 + 22
4x = 0 + 22

Combine like terms: 0 + 22 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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