5x+38=2(4x+3)+8

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Solution for 5x+38=2(4x+3)+8 equation:


Simplifying
5x + 38 = 2(4x + 3) + 8

Reorder the terms:
38 + 5x = 2(4x + 3) + 8

Reorder the terms:
38 + 5x = 2(3 + 4x) + 8
38 + 5x = (3 * 2 + 4x * 2) + 8
38 + 5x = (6 + 8x) + 8

Reorder the terms:
38 + 5x = 6 + 8 + 8x

Combine like terms: 6 + 8 = 14
38 + 5x = 14 + 8x

Solving
38 + 5x = 14 + 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.
38 + 5x + -8x = 14 + 8x + -8x

Combine like terms: 5x + -8x = -3x
38 + -3x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
38 + -3x = 14 + 0
38 + -3x = 14

Add '-38' to each side of the equation.
38 + -38 + -3x = 14 + -38

Combine like terms: 38 + -38 = 0
0 + -3x = 14 + -38
-3x = 14 + -38

Combine like terms: 14 + -38 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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