5(x-2)=3(x+6)-8

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Solution for 5(x-2)=3(x+6)-8 equation:


Simplifying
5(x + -2) = 3(x + 6) + -8

Reorder the terms:
5(-2 + x) = 3(x + 6) + -8
(-2 * 5 + x * 5) = 3(x + 6) + -8
(-10 + 5x) = 3(x + 6) + -8

Reorder the terms:
-10 + 5x = 3(6 + x) + -8
-10 + 5x = (6 * 3 + x * 3) + -8
-10 + 5x = (18 + 3x) + -8

Reorder the terms:
-10 + 5x = 18 + -8 + 3x

Combine like terms: 18 + -8 = 10
-10 + 5x = 10 + 3x

Solving
-10 + 5x = 10 + 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.
-10 + 5x + -3x = 10 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-10 + 2x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 2x = 10 + 0
-10 + 2x = 10

Add '10' to each side of the equation.
-10 + 10 + 2x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 10 + 10
2x = 10 + 10

Combine like terms: 10 + 10 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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