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

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Solution for 6(x-5)+2=x+3 equation:


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

Reorder the terms:
6(-5 + x) + 2 = x + 3
(-5 * 6 + x * 6) + 2 = x + 3
(-30 + 6x) + 2 = x + 3

Reorder the terms:
-30 + 2 + 6x = x + 3

Combine like terms: -30 + 2 = -28
-28 + 6x = x + 3

Reorder the terms:
-28 + 6x = 3 + x

Solving
-28 + 6x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-28 + 6x + -1x = 3 + x + -1x

Combine like terms: 6x + -1x = 5x
-28 + 5x = 3 + x + -1x

Combine like terms: x + -1x = 0
-28 + 5x = 3 + 0
-28 + 5x = 3

Add '28' to each side of the equation.
-28 + 28 + 5x = 3 + 28

Combine like terms: -28 + 28 = 0
0 + 5x = 3 + 28
5x = 3 + 28

Combine like terms: 3 + 28 = 31
5x = 31

Divide each side by '5'.
x = 6.2

Simplifying
x = 6.2

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