8(x+2)+6(x+2)=5x-5

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Solution for 8(x+2)+6(x+2)=5x-5 equation:


Simplifying
8(x + 2) + 6(x + 2) = 5x + -5

Reorder the terms:
8(2 + x) + 6(x + 2) = 5x + -5
(2 * 8 + x * 8) + 6(x + 2) = 5x + -5
(16 + 8x) + 6(x + 2) = 5x + -5

Reorder the terms:
16 + 8x + 6(2 + x) = 5x + -5
16 + 8x + (2 * 6 + x * 6) = 5x + -5
16 + 8x + (12 + 6x) = 5x + -5

Reorder the terms:
16 + 12 + 8x + 6x = 5x + -5

Combine like terms: 16 + 12 = 28
28 + 8x + 6x = 5x + -5

Combine like terms: 8x + 6x = 14x
28 + 14x = 5x + -5

Reorder the terms:
28 + 14x = -5 + 5x

Solving
28 + 14x = -5 + 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.
28 + 14x + -5x = -5 + 5x + -5x

Combine like terms: 14x + -5x = 9x
28 + 9x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + 9x = -5 + 0
28 + 9x = -5

Add '-28' to each side of the equation.
28 + -28 + 9x = -5 + -28

Combine like terms: 28 + -28 = 0
0 + 9x = -5 + -28
9x = -5 + -28

Combine like terms: -5 + -28 = -33
9x = -33

Divide each side by '9'.
x = -3.666666667

Simplifying
x = -3.666666667

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