38(10-2.5x)=16(2x-6)+18.8

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Solution for 38(10-2.5x)=16(2x-6)+18.8 equation: 


Simplifying
38(10 + -2.5x) = 16(2x + -6) + 18.8
(10 * 38 + -2.5x * 38) = 16(2x + -6) + 18.8
(380 + -95x) = 16(2x + -6) + 18.8

Reorder the terms:
380 + -95x = 16(-6 + 2x) + 18.8
380 + -95x = (-6 * 16 + 2x * 16) + 18.8
380 + -95x = (-96 + 32x) + 18.8

Reorder the terms:
380 + -95x = -96 + 18.8 + 32x

Combine like terms: -96 + 18.8 = -77.2
380 + -95x = -77.2 + 32x

Solving
380 + -95x = -77.2 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
380 + -95x + -32x = -77.2 + 32x + -32x

Combine like terms: -95x + -32x = -127x
380 + -127x = -77.2 + 32x + -32x

Combine like terms: 32x + -32x = 0
380 + -127x = -77.2 + 0
380 + -127x = -77.2

Add '-380' to each side of the equation.
380 + -380 + -127x = -77.2 + -380

Combine like terms: 380 + -380 = 0
0 + -127x = -77.2 + -380
-127x = -77.2 + -380

Combine like terms: -77.2 + -380 = -457.2
-127x = -457.2

Divide each side by '-127'.
x = 3.6

Simplifying
x = 3.6

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