38.1-0.2x=5.4(4.8+0.5x)

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Solution for 38.1-0.2x=5.4(4.8+0.5x) equation: 


Simplifying
38.1 + -0.2x = 5.4(4.8 + 0.5x)
38.1 + -0.2x = (4.8 * 5.4 + 0.5x * 5.4)
38.1 + -0.2x = (25.92 + 2.7x)

Solving
38.1 + -0.2x = 25.92 + 2.7x

Solving for variable 'x'.

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

Add '-2.7x' to each side of the equation.
38.1 + -0.2x + -2.7x = 25.92 + 2.7x + -2.7x

Combine like terms: -0.2x + -2.7x = -2.9x
38.1 + -2.9x = 25.92 + 2.7x + -2.7x

Combine like terms: 2.7x + -2.7x = 0.0
38.1 + -2.9x = 25.92 + 0.0
38.1 + -2.9x = 25.92

Add '-38.1' to each side of the equation.
38.1 + -38.1 + -2.9x = 25.92 + -38.1

Combine like terms: 38.1 + -38.1 = 0.0
0.0 + -2.9x = 25.92 + -38.1
-2.9x = 25.92 + -38.1

Combine like terms: 25.92 + -38.1 = -12.18
-2.9x = -12.18

Divide each side by '-2.9'.
x = 4.2

Simplifying
x = 4.2

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