9(x-5)-5(x-2)=1

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Solution for 9(x-5)-5(x-2)=1 equation:


Simplifying
9(x + -5) + -5(x + -2) = 1

Reorder the terms:
9(-5 + x) + -5(x + -2) = 1
(-5 * 9 + x * 9) + -5(x + -2) = 1
(-45 + 9x) + -5(x + -2) = 1

Reorder the terms:
-45 + 9x + -5(-2 + x) = 1
-45 + 9x + (-2 * -5 + x * -5) = 1
-45 + 9x + (10 + -5x) = 1

Reorder the terms:
-45 + 10 + 9x + -5x = 1

Combine like terms: -45 + 10 = -35
-35 + 9x + -5x = 1

Combine like terms: 9x + -5x = 4x
-35 + 4x = 1

Solving
-35 + 4x = 1

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + 4x = 1 + 35

Combine like terms: -35 + 35 = 0
0 + 4x = 1 + 35
4x = 1 + 35

Combine like terms: 1 + 35 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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