5(5+2x)=9(x-4)

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Solution for 5(5+2x)=9(x-4) equation:


Simplifying
5(5 + 2x) = 9(x + -4)
(5 * 5 + 2x * 5) = 9(x + -4)
(25 + 10x) = 9(x + -4)

Reorder the terms:
25 + 10x = 9(-4 + x)
25 + 10x = (-4 * 9 + x * 9)
25 + 10x = (-36 + 9x)

Solving
25 + 10x = -36 + 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.
25 + 10x + -9x = -36 + 9x + -9x

Combine like terms: 10x + -9x = 1x
25 + 1x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
25 + 1x = -36 + 0
25 + 1x = -36

Add '-25' to each side of the equation.
25 + -25 + 1x = -36 + -25

Combine like terms: 25 + -25 = 0
0 + 1x = -36 + -25
1x = -36 + -25

Combine like terms: -36 + -25 = -61
1x = -61

Divide each side by '1'.
x = -61

Simplifying
x = -61

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