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

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


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

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

Remove parenthesis around (3 + x)
3 + x + -2(3 + -5x) = (x + 3) + -1
3 + x + (3 * -2 + -5x * -2) = (x + 3) + -1
3 + x + (-6 + 10x) = (x + 3) + -1

Reorder the terms:
3 + -6 + x + 10x = (x + 3) + -1

Combine like terms: 3 + -6 = -3
-3 + x + 10x = (x + 3) + -1

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

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

Remove parenthesis around (3 + x)
-3 + 11x = 3 + x + -1

Reorder the terms:
-3 + 11x = 3 + -1 + x

Combine like terms: 3 + -1 = 2
-3 + 11x = 2 + x

Solving
-3 + 11x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 11x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
-3 + 10x = 2 + 0
-3 + 10x = 2

Add '3' to each side of the equation.
-3 + 3 + 10x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 2 + 3
10x = 2 + 3

Combine like terms: 2 + 3 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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