6.2(x-2)+9=5.8x+4.8

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Solution for 6.2(x-2)+9=5.8x+4.8 equation: 


Simplifying
6.2(x + -2) + 9 = 5.8x + 4.8

Reorder the terms:
6.2(-2 + x) + 9 = 5.8x + 4.8
(-2 * 6.2 + x * 6.2) + 9 = 5.8x + 4.8
(-12.4 + 6.2x) + 9 = 5.8x + 4.8

Reorder the terms:
-12.4 + 9 + 6.2x = 5.8x + 4.8

Combine like terms: -12.4 + 9 = -3.4
-3.4 + 6.2x = 5.8x + 4.8

Reorder the terms:
-3.4 + 6.2x = 4.8 + 5.8x

Solving
-3.4 + 6.2x = 4.8 + 5.8x

Solving for variable 'x'.

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

Add '-5.8x' to each side of the equation.
-3.4 + 6.2x + -5.8x = 4.8 + 5.8x + -5.8x

Combine like terms: 6.2x + -5.8x = 0.4x
-3.4 + 0.4x = 4.8 + 5.8x + -5.8x

Combine like terms: 5.8x + -5.8x = 0.0
-3.4 + 0.4x = 4.8 + 0.0
-3.4 + 0.4x = 4.8

Add '3.4' to each side of the equation.
-3.4 + 3.4 + 0.4x = 4.8 + 3.4

Combine like terms: -3.4 + 3.4 = 0.0
0.0 + 0.4x = 4.8 + 3.4
0.4x = 4.8 + 3.4

Combine like terms: 4.8 + 3.4 = 8.2
0.4x = 8.2

Divide each side by '0.4'.
x = 20.5

Simplifying
x = 20.5

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