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

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


Simplifying
-5(2x + -5) + -1x = -4(x + -2)

Reorder the terms:
-5(-5 + 2x) + -1x = -4(x + -2)
(-5 * -5 + 2x * -5) + -1x = -4(x + -2)
(25 + -10x) + -1x = -4(x + -2)

Combine like terms: -10x + -1x = -11x
25 + -11x = -4(x + -2)

Reorder the terms:
25 + -11x = -4(-2 + x)
25 + -11x = (-2 * -4 + x * -4)
25 + -11x = (8 + -4x)

Solving
25 + -11x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
25 + -11x + 4x = 8 + -4x + 4x

Combine like terms: -11x + 4x = -7x
25 + -7x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
25 + -7x = 8 + 0
25 + -7x = 8

Add '-25' to each side of the equation.
25 + -25 + -7x = 8 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = 8 + -25
-7x = 8 + -25

Combine like terms: 8 + -25 = -17
-7x = -17

Divide each side by '-7'.
x = 2.428571429

Simplifying
x = 2.428571429

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