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

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


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

Reorder the terms:
2(5 + x) + -11 = 3(x + -1)
(5 * 2 + x * 2) + -11 = 3(x + -1)
(10 + 2x) + -11 = 3(x + -1)

Reorder the terms:
10 + -11 + 2x = 3(x + -1)

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

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

Solving
-1 + 2x = -3 + 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.
-1 + 2x + -3x = -3 + 3x + -3x

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

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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