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

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


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

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

Combine like terms: 6x + -8x = -2x
5 + -2x = 5(x + 5) + 2

Reorder the terms:
5 + -2x = 5(5 + x) + 2
5 + -2x = (5 * 5 + x * 5) + 2
5 + -2x = (25 + 5x) + 2

Reorder the terms:
5 + -2x = 25 + 2 + 5x

Combine like terms: 25 + 2 = 27
5 + -2x = 27 + 5x

Solving
5 + -2x = 27 + 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 + -2x + -5x = 27 + 5x + -5x

Combine like terms: -2x + -5x = -7x
5 + -7x = 27 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -7x = 27 + 0
5 + -7x = 27

Add '-5' to each side of the equation.
5 + -5 + -7x = 27 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 27 + -5
-7x = 27 + -5

Combine like terms: 27 + -5 = 22
-7x = 22

Divide each side by '-7'.
x = -3.142857143

Simplifying
x = -3.142857143

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