0.2(x+3.1)=5x-64

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Solution for 0.2(x+3.1)=5x-64 equation:


Simplifying
0.2(x + 3.1) = 5x + -64

Reorder the terms:
0.2(3.1 + x) = 5x + -64
(3.1 * 0.2 + x * 0.2) = 5x + -64
(0.62 + 0.2x) = 5x + -64

Reorder the terms:
0.62 + 0.2x = -64 + 5x

Solving
0.62 + 0.2x = -64 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
0.62 + 0.2x + -5x = -64 + 5x + -5x

Combine like terms: 0.2x + -5x = -4.8x
0.62 + -4.8x = -64 + 5x + -5x

Combine like terms: 5x + -5x = 0
0.62 + -4.8x = -64 + 0
0.62 + -4.8x = -64

Add '-0.62' to each side of the equation.
0.62 + -0.62 + -4.8x = -64 + -0.62

Combine like terms: 0.62 + -0.62 = 0.00
0.00 + -4.8x = -64 + -0.62
-4.8x = -64 + -0.62

Combine like terms: -64 + -0.62 = -64.62
-4.8x = -64.62

Divide each side by '-4.8'.
x = 13.4625

Simplifying
x = 13.4625

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