6x-(9x-6)=10x+25

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Solution for 6x-(9x-6)=10x+25 equation:


Simplifying
6x + -1(9x + -6) = 10x + 25

Reorder the terms:
6x + -1(-6 + 9x) = 10x + 25
6x + (-6 * -1 + 9x * -1) = 10x + 25
6x + (6 + -9x) = 10x + 25

Reorder the terms:
6 + 6x + -9x = 10x + 25

Combine like terms: 6x + -9x = -3x
6 + -3x = 10x + 25

Reorder the terms:
6 + -3x = 25 + 10x

Solving
6 + -3x = 25 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + -3x + -10x = 25 + 10x + -10x

Combine like terms: -3x + -10x = -13x
6 + -13x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -13x = 25 + 0
6 + -13x = 25

Add '-6' to each side of the equation.
6 + -6 + -13x = 25 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = 25 + -6
-13x = 25 + -6

Combine like terms: 25 + -6 = 19
-13x = 19

Divide each side by '-13'.
x = -1.461538462

Simplifying
x = -1.461538462

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