25(x+7)=9x-2

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Solution for 25(x+7)=9x-2 equation:


Simplifying
25(x + 7) = 9x + -2

Reorder the terms:
25(7 + x) = 9x + -2
(7 * 25 + x * 25) = 9x + -2
(175 + 25x) = 9x + -2

Reorder the terms:
175 + 25x = -2 + 9x

Solving
175 + 25x = -2 + 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.
175 + 25x + -9x = -2 + 9x + -9x

Combine like terms: 25x + -9x = 16x
175 + 16x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
175 + 16x = -2 + 0
175 + 16x = -2

Add '-175' to each side of the equation.
175 + -175 + 16x = -2 + -175

Combine like terms: 175 + -175 = 0
0 + 16x = -2 + -175
16x = -2 + -175

Combine like terms: -2 + -175 = -177
16x = -177

Divide each side by '16'.
x = -11.0625

Simplifying
x = -11.0625

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