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

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


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

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

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

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

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

Combine like terms: 11 + -3 = 8
-10 + 5x = 8 + -1x

Solving
-10 + 5x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + 5x + x = 8 + -1x + x

Combine like terms: 5x + x = 6x
-10 + 6x = 8 + -1x + x

Combine like terms: -1x + x = 0
-10 + 6x = 8 + 0
-10 + 6x = 8

Add '10' to each side of the equation.
-10 + 10 + 6x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 8 + 10
6x = 8 + 10

Combine like terms: 8 + 10 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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