(5x-10)-(3x+3)=-1

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Solution for (5x-10)-(3x+3)=-1 equation:


Simplifying
(5x + -10) + -1(3x + 3) = -1

Reorder the terms:
(-10 + 5x) + -1(3x + 3) = -1

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

Reorder the terms:
-10 + 5x + -1(3 + 3x) = -1
-10 + 5x + (3 * -1 + 3x * -1) = -1
-10 + 5x + (-3 + -3x) = -1

Reorder the terms:
-10 + -3 + 5x + -3x = -1

Combine like terms: -10 + -3 = -13
-13 + 5x + -3x = -1

Combine like terms: 5x + -3x = 2x
-13 + 2x = -1

Solving
-13 + 2x = -1

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 2x = -1 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = -1 + 13
2x = -1 + 13

Combine like terms: -1 + 13 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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