5(3x-0.2)+1.3=4x+7.8

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Solution for 5(3x-0.2)+1.3=4x+7.8 equation: 


Simplifying
5(3x + -0.2) + 1.3 = 4x + 7.8

Reorder the terms:
5(-0.2 + 3x) + 1.3 = 4x + 7.8
(-0.2 * 5 + 3x * 5) + 1.3 = 4x + 7.8
(-1 + 15x) + 1.3 = 4x + 7.8

Reorder the terms:
-1 + 1.3 + 15x = 4x + 7.8

Combine like terms: -1 + 1.3 = 0.3
0.3 + 15x = 4x + 7.8

Reorder the terms:
0.3 + 15x = 7.8 + 4x

Solving
0.3 + 15x = 7.8 + 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.
0.3 + 15x + -4x = 7.8 + 4x + -4x

Combine like terms: 15x + -4x = 11x
0.3 + 11x = 7.8 + 4x + -4x

Combine like terms: 4x + -4x = 0
0.3 + 11x = 7.8 + 0
0.3 + 11x = 7.8

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 11x = 7.8 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 11x = 7.8 + -0.3
11x = 7.8 + -0.3

Combine like terms: 7.8 + -0.3 = 7.5
11x = 7.5

Divide each side by '11'.
x = 0.6818181818

Simplifying
x = 0.6818181818

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