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

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


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

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

Reorder the terms:
10 + 5x + 3(-2 + x) = 5(x + 11)
10 + 5x + (-2 * 3 + x * 3) = 5(x + 11)
10 + 5x + (-6 + 3x) = 5(x + 11)

Reorder the terms:
10 + -6 + 5x + 3x = 5(x + 11)

Combine like terms: 10 + -6 = 4
4 + 5x + 3x = 5(x + 11)

Combine like terms: 5x + 3x = 8x
4 + 8x = 5(x + 11)

Reorder the terms:
4 + 8x = 5(11 + x)
4 + 8x = (11 * 5 + x * 5)
4 + 8x = (55 + 5x)

Solving
4 + 8x = 55 + 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.
4 + 8x + -5x = 55 + 5x + -5x

Combine like terms: 8x + -5x = 3x
4 + 3x = 55 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 3x = 55 + 0
4 + 3x = 55

Add '-4' to each side of the equation.
4 + -4 + 3x = 55 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 55 + -4
3x = 55 + -4

Combine like terms: 55 + -4 = 51
3x = 51

Divide each side by '3'.
x = 17

Simplifying
x = 17

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