5(x+1.3)=4x+8.2

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Solution for 5(x+1.3)=4x+8.2 equation: 


Simplifying
5(x + 1.3) = 4x + 8.2

Reorder the terms:
5(1.3 + x) = 4x + 8.2
(1.3 * 5 + x * 5) = 4x + 8.2
(6.5 + 5x) = 4x + 8.2

Reorder the terms:
6.5 + 5x = 8.2 + 4x

Solving
6.5 + 5x = 8.2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6.5 + 5x + -4x = 8.2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
6.5 + 1x = 8.2 + 4x + -4x

Combine like terms: 4x + -4x = 0
6.5 + 1x = 8.2 + 0
6.5 + 1x = 8.2

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 1x = 8.2 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 1x = 8.2 + -6.5
1x = 8.2 + -6.5

Combine like terms: 8.2 + -6.5 = 1.7
1x = 1.7

Divide each side by '1'.
x = 1.7

Simplifying
x = 1.7

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