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

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


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

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

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

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

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

Solving
5 + 3x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 3x + -2x = -10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
5 + 1x = -10 + 0
5 + 1x = -10

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

Combine like terms: 5 + -5 = 0
0 + 1x = -10 + -5
1x = -10 + -5

Combine like terms: -10 + -5 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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