10(x-5)=9(x+5)

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Solution for 10(x-5)=9(x+5) equation:


Simplifying
10(x + -5) = 9(x + 5)

Reorder the terms:
10(-5 + x) = 9(x + 5)
(-5 * 10 + x * 10) = 9(x + 5)
(-50 + 10x) = 9(x + 5)

Reorder the terms:
-50 + 10x = 9(5 + x)
-50 + 10x = (5 * 9 + x * 9)
-50 + 10x = (45 + 9x)

Solving
-50 + 10x = 45 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-50 + 10x + -9x = 45 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-50 + 1x = 45 + 9x + -9x

Combine like terms: 9x + -9x = 0
-50 + 1x = 45 + 0
-50 + 1x = 45

Add '50' to each side of the equation.
-50 + 50 + 1x = 45 + 50

Combine like terms: -50 + 50 = 0
0 + 1x = 45 + 50
1x = 45 + 50

Combine like terms: 45 + 50 = 95
1x = 95

Divide each side by '1'.
x = 95

Simplifying
x = 95

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