11x-(x+5)=-2(5x-3)

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Solution for 11x-(x+5)=-2(5x-3) equation:


Simplifying
11x + -1(x + 5) = -2(5x + -3)

Reorder the terms:
11x + -1(5 + x) = -2(5x + -3)
11x + (5 * -1 + x * -1) = -2(5x + -3)
11x + (-5 + -1x) = -2(5x + -3)

Reorder the terms:
-5 + 11x + -1x = -2(5x + -3)

Combine like terms: 11x + -1x = 10x
-5 + 10x = -2(5x + -3)

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

Solving
-5 + 10x = 6 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-5 + 10x + 10x = 6 + -10x + 10x

Combine like terms: 10x + 10x = 20x
-5 + 20x = 6 + -10x + 10x

Combine like terms: -10x + 10x = 0
-5 + 20x = 6 + 0
-5 + 20x = 6

Add '5' to each side of the equation.
-5 + 5 + 20x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 20x = 6 + 5
20x = 6 + 5

Combine like terms: 6 + 5 = 11
20x = 11

Divide each side by '20'.
x = 0.55

Simplifying
x = 0.55

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