6(x+1.3)=5x+9.2

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Solution for 6(x+1.3)=5x+9.2 equation:


Simplifying
6(x + 1.3) = 5x + 9.2

Reorder the terms:
6(1.3 + x) = 5x + 9.2
(1.3 * 6 + x * 6) = 5x + 9.2
(7.8 + 6x) = 5x + 9.2

Reorder the terms:
7.8 + 6x = 9.2 + 5x

Solving
7.8 + 6x = 9.2 + 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.
7.8 + 6x + -5x = 9.2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
7.8 + 1x = 9.2 + 5x + -5x

Combine like terms: 5x + -5x = 0
7.8 + 1x = 9.2 + 0
7.8 + 1x = 9.2

Add '-7.8' to each side of the equation.
7.8 + -7.8 + 1x = 9.2 + -7.8

Combine like terms: 7.8 + -7.8 = 0.0
0.0 + 1x = 9.2 + -7.8
1x = 9.2 + -7.8

Combine like terms: 9.2 + -7.8 = 1.4
1x = 1.4

Divide each side by '1'.
x = 1.4

Simplifying
x = 1.4

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