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

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


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

Reorder the terms:
5(-2 + x) + 6 = x + 8
(-2 * 5 + x * 5) + 6 = x + 8
(-10 + 5x) + 6 = x + 8

Reorder the terms:
-10 + 6 + 5x = x + 8

Combine like terms: -10 + 6 = -4
-4 + 5x = x + 8

Reorder the terms:
-4 + 5x = 8 + x

Solving
-4 + 5x = 8 + 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.
-4 + 5x + -1x = 8 + x + -1x

Combine like terms: 5x + -1x = 4x
-4 + 4x = 8 + x + -1x

Combine like terms: x + -1x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8

Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4

Combine like terms: 8 + 4 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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