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

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Solution for 11-2(x-3)=1-3(x-5) equation:


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

Reorder the terms:
11 + -2(-3 + x) = 1 + -3(x + -5)
11 + (-3 * -2 + x * -2) = 1 + -3(x + -5)
11 + (6 + -2x) = 1 + -3(x + -5)

Combine like terms: 11 + 6 = 17
17 + -2x = 1 + -3(x + -5)

Reorder the terms:
17 + -2x = 1 + -3(-5 + x)
17 + -2x = 1 + (-5 * -3 + x * -3)
17 + -2x = 1 + (15 + -3x)

Combine like terms: 1 + 15 = 16
17 + -2x = 16 + -3x

Solving
17 + -2x = 16 + -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.
17 + -2x + 3x = 16 + -3x + 3x

Combine like terms: -2x + 3x = 1x
17 + 1x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + 1x = 16 + 0
17 + 1x = 16

Add '-17' to each side of the equation.
17 + -17 + 1x = 16 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 16 + -17
1x = 16 + -17

Combine like terms: 16 + -17 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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