1.3(7x+5)=3x-5

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Solution for 1.3(7x+5)=3x-5 equation:


Simplifying
1.3(7x + 5) = 3x + -5

Reorder the terms:
1.3(5 + 7x) = 3x + -5
(5 * 1.3 + 7x * 1.3) = 3x + -5
(6.5 + 9.1x) = 3x + -5

Reorder the terms:
6.5 + 9.1x = -5 + 3x

Solving
6.5 + 9.1x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6.5 + 9.1x + -3x = -5 + 3x + -3x

Combine like terms: 9.1x + -3x = 6.1x
6.5 + 6.1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
6.5 + 6.1x = -5 + 0
6.5 + 6.1x = -5

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 6.1x = -5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 6.1x = -5 + -6.5
6.1x = -5 + -6.5

Combine like terms: -5 + -6.5 = -11.5
6.1x = -11.5

Divide each side by '6.1'.
x = -1.885245902

Simplifying
x = -1.885245902

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