6.2(3x-8)-4.3(5-2x)=37.7

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Solution for 6.2(3x-8)-4.3(5-2x)=37.7 equation:


Simplifying
6.2(3x + -8) + -4.3(5 + -2x) = 37.7

Reorder the terms:
6.2(-8 + 3x) + -4.3(5 + -2x) = 37.7
(-8 * 6.2 + 3x * 6.2) + -4.3(5 + -2x) = 37.7
(-49.6 + 18.6x) + -4.3(5 + -2x) = 37.7
-49.6 + 18.6x + (5 * -4.3 + -2x * -4.3) = 37.7
-49.6 + 18.6x + (-21.5 + 8.6x) = 37.7

Reorder the terms:
-49.6 + -21.5 + 18.6x + 8.6x = 37.7

Combine like terms: -49.6 + -21.5 = -71.1
-71.1 + 18.6x + 8.6x = 37.7

Combine like terms: 18.6x + 8.6x = 27.2x
-71.1 + 27.2x = 37.7

Solving
-71.1 + 27.2x = 37.7

Solving for variable 'x'.

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

Add '71.1' to each side of the equation.
-71.1 + 71.1 + 27.2x = 37.7 + 71.1

Combine like terms: -71.1 + 71.1 = 0.0
0.0 + 27.2x = 37.7 + 71.1
27.2x = 37.7 + 71.1

Combine like terms: 37.7 + 71.1 = 108.8
27.2x = 108.8

Divide each side by '27.2'.
x = 4

Simplifying
x = 4

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