5.9(x+3.1)-8.9=2(x+7)-5

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Solution for 5.9(x+3.1)-8.9=2(x+7)-5 equation:


Simplifying
5.9(x + 3.1) + -8.9 = 2(x + 7) + -5

Reorder the terms:
5.9(3.1 + x) + -8.9 = 2(x + 7) + -5
(3.1 * 5.9 + x * 5.9) + -8.9 = 2(x + 7) + -5
(18.29 + 5.9x) + -8.9 = 2(x + 7) + -5

Reorder the terms:
18.29 + -8.9 + 5.9x = 2(x + 7) + -5

Combine like terms: 18.29 + -8.9 = 9.39
9.39 + 5.9x = 2(x + 7) + -5

Reorder the terms:
9.39 + 5.9x = 2(7 + x) + -5
9.39 + 5.9x = (7 * 2 + x * 2) + -5
9.39 + 5.9x = (14 + 2x) + -5

Reorder the terms:
9.39 + 5.9x = 14 + -5 + 2x

Combine like terms: 14 + -5 = 9
9.39 + 5.9x = 9 + 2x

Solving
9.39 + 5.9x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9.39 + 5.9x + -2x = 9 + 2x + -2x

Combine like terms: 5.9x + -2x = 3.9x
9.39 + 3.9x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
9.39 + 3.9x = 9 + 0
9.39 + 3.9x = 9

Add '-9.39' to each side of the equation.
9.39 + -9.39 + 3.9x = 9 + -9.39

Combine like terms: 9.39 + -9.39 = 0.00
0.00 + 3.9x = 9 + -9.39
3.9x = 9 + -9.39

Combine like terms: 9 + -9.39 = -0.39
3.9x = -0.39

Divide each side by '3.9'.
x = -0.1

Simplifying
x = -0.1

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