-5(x-5)=3(10-2x)+10x

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Solution for -5(x-5)=3(10-2x)+10x equation:


Simplifying
-5(x + -5) = 3(10 + -2x) + 10x

Reorder the terms:
-5(-5 + x) = 3(10 + -2x) + 10x
(-5 * -5 + x * -5) = 3(10 + -2x) + 10x
(25 + -5x) = 3(10 + -2x) + 10x
25 + -5x = (10 * 3 + -2x * 3) + 10x
25 + -5x = (30 + -6x) + 10x

Combine like terms: -6x + 10x = 4x
25 + -5x = 30 + 4x

Solving
25 + -5x = 30 + 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 + -5x + -4x = 30 + 4x + -4x

Combine like terms: -5x + -4x = -9x
25 + -9x = 30 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + -9x = 30 + 0
25 + -9x = 30

Add '-25' to each side of the equation.
25 + -25 + -9x = 30 + -25

Combine like terms: 25 + -25 = 0
0 + -9x = 30 + -25
-9x = 30 + -25

Combine like terms: 30 + -25 = 5
-9x = 5

Divide each side by '-9'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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