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

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


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

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

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

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

Reorder the terms:
-28 + 6x = 2 + 3x

Solving
-28 + 6x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-28 + 6x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-28 + 3x = 2 + 0
-28 + 3x = 2

Add '28' to each side of the equation.
-28 + 28 + 3x = 2 + 28

Combine like terms: -28 + 28 = 0
0 + 3x = 2 + 28
3x = 2 + 28

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

Divide each side by '3'.
x = 10

Simplifying
x = 10

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