5(4x-2)=8x+38

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Solution for 5(4x-2)=8x+38 equation:


Simplifying
5(4x + -2) = 8x + 38

Reorder the terms:
5(-2 + 4x) = 8x + 38
(-2 * 5 + 4x * 5) = 8x + 38
(-10 + 20x) = 8x + 38

Reorder the terms:
-10 + 20x = 38 + 8x

Solving
-10 + 20x = 38 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 20x + -8x = 38 + 8x + -8x

Combine like terms: 20x + -8x = 12x
-10 + 12x = 38 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + 12x = 38 + 0
-10 + 12x = 38

Add '10' to each side of the equation.
-10 + 10 + 12x = 38 + 10

Combine like terms: -10 + 10 = 0
0 + 12x = 38 + 10
12x = 38 + 10

Combine like terms: 38 + 10 = 48
12x = 48

Divide each side by '12'.
x = 4

Simplifying
x = 4

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