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

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


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

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

Reorder the terms:
-3 + -5 + -6x = -5(x + 5) + 2x

Combine like terms: -3 + -5 = -8
-8 + -6x = -5(x + 5) + 2x

Reorder the terms:
-8 + -6x = -5(5 + x) + 2x
-8 + -6x = (5 * -5 + x * -5) + 2x
-8 + -6x = (-25 + -5x) + 2x

Combine like terms: -5x + 2x = -3x
-8 + -6x = -25 + -3x

Solving
-8 + -6x = -25 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + -6x + 3x = -25 + -3x + 3x

Combine like terms: -6x + 3x = -3x
-8 + -3x = -25 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + -3x = -25 + 0
-8 + -3x = -25

Add '8' to each side of the equation.
-8 + 8 + -3x = -25 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = -25 + 8
-3x = -25 + 8

Combine like terms: -25 + 8 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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