3(x+2)-11=5(x-4)

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Solution for 3(x+2)-11=5(x-4) equation:


Simplifying
3(x + 2) + -11 = 5(x + -4)

Reorder the terms:
3(2 + x) + -11 = 5(x + -4)
(2 * 3 + x * 3) + -11 = 5(x + -4)
(6 + 3x) + -11 = 5(x + -4)

Reorder the terms:
6 + -11 + 3x = 5(x + -4)

Combine like terms: 6 + -11 = -5
-5 + 3x = 5(x + -4)

Reorder the terms:
-5 + 3x = 5(-4 + x)
-5 + 3x = (-4 * 5 + x * 5)
-5 + 3x = (-20 + 5x)

Solving
-5 + 3x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 3x + -5x = -20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-5 + -2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -2x = -20 + 0
-5 + -2x = -20

Add '5' to each side of the equation.
-5 + 5 + -2x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -20 + 5
-2x = -20 + 5

Combine like terms: -20 + 5 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

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