38=.5(3)(x+7)

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Solution for 38=.5(3)(x+7) equation: 


Simplifying
38 = 0.5(3)(x + 7)

Reorder the terms:
38 = 0.5 * 3(7 + x)

Multiply 0.5 * 3
38 = 1.5(7 + x)
38 = (7 * 1.5 + x * 1.5)
38 = (10.5 + 1.5x)

Solving
38 = 10.5 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
38 + -1.5x = 10.5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
38 + -1.5x = 10.5 + 0.0
38 + -1.5x = 10.5

Add '-38' to each side of the equation.
38 + -38 + -1.5x = 10.5 + -38

Combine like terms: 38 + -38 = 0
0 + -1.5x = 10.5 + -38
-1.5x = 10.5 + -38

Combine like terms: 10.5 + -38 = -27.5
-1.5x = -27.5

Divide each side by '-1.5'.
x = 18.33333333

Simplifying
x = 18.33333333

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