5(5-x)=2(3x-2)-1

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Solution for 5(5-x)=2(3x-2)-1 equation:


Simplifying
5(5 + -1x) = 2(3x + -2) + -1
(5 * 5 + -1x * 5) = 2(3x + -2) + -1
(25 + -5x) = 2(3x + -2) + -1

Reorder the terms:
25 + -5x = 2(-2 + 3x) + -1
25 + -5x = (-2 * 2 + 3x * 2) + -1
25 + -5x = (-4 + 6x) + -1

Reorder the terms:
25 + -5x = -4 + -1 + 6x

Combine like terms: -4 + -1 = -5
25 + -5x = -5 + 6x

Solving
25 + -5x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
25 + -5x + -6x = -5 + 6x + -6x

Combine like terms: -5x + -6x = -11x
25 + -11x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
25 + -11x = -5 + 0
25 + -11x = -5

Add '-25' to each side of the equation.
25 + -25 + -11x = -5 + -25

Combine like terms: 25 + -25 = 0
0 + -11x = -5 + -25
-11x = -5 + -25

Combine like terms: -5 + -25 = -30
-11x = -30

Divide each side by '-11'.
x = 2.727272727

Simplifying
x = 2.727272727

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