5(x+8)=6x-2

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


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

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

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

Solving
40 + 5x = -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 + 5x + -6x = -2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
40 + -1x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + -1x = -2 + 0
40 + -1x = -2

Add '-40' to each side of the equation.
40 + -40 + -1x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = -2 + -40
-1x = -2 + -40

Combine like terms: -2 + -40 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42

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