7x+5(x-8)=6x+2

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Solution for 7x+5(x-8)=6x+2 equation:


Simplifying
7x + 5(x + -8) = 6x + 2

Reorder the terms:
7x + 5(-8 + x) = 6x + 2
7x + (-8 * 5 + x * 5) = 6x + 2
7x + (-40 + 5x) = 6x + 2

Reorder the terms:
-40 + 7x + 5x = 6x + 2

Combine like terms: 7x + 5x = 12x
-40 + 12x = 6x + 2

Reorder the terms:
-40 + 12x = 2 + 6x

Solving
-40 + 12x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-40 + 12x + -6x = 2 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-40 + 6x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-40 + 6x = 2 + 0
-40 + 6x = 2

Add '40' to each side of the equation.
-40 + 40 + 6x = 2 + 40

Combine like terms: -40 + 40 = 0
0 + 6x = 2 + 40
6x = 2 + 40

Combine like terms: 2 + 40 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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