6x-9x-5(3x-5)=5x-15

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Solution for 6x-9x-5(3x-5)=5x-15 equation:


Simplifying
6x + -9x + -5(3x + -5) = 5x + -15

Reorder the terms:
6x + -9x + -5(-5 + 3x) = 5x + -15
6x + -9x + (-5 * -5 + 3x * -5) = 5x + -15
6x + -9x + (25 + -15x) = 5x + -15

Reorder the terms:
25 + 6x + -9x + -15x = 5x + -15

Combine like terms: 6x + -9x = -3x
25 + -3x + -15x = 5x + -15

Combine like terms: -3x + -15x = -18x
25 + -18x = 5x + -15

Reorder the terms:
25 + -18x = -15 + 5x

Solving
25 + -18x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
25 + -18x + -5x = -15 + 5x + -5x

Combine like terms: -18x + -5x = -23x
25 + -23x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
25 + -23x = -15 + 0
25 + -23x = -15

Add '-25' to each side of the equation.
25 + -25 + -23x = -15 + -25

Combine like terms: 25 + -25 = 0
0 + -23x = -15 + -25
-23x = -15 + -25

Combine like terms: -15 + -25 = -40
-23x = -40

Divide each side by '-23'.
x = 1.739130435

Simplifying
x = 1.739130435

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