8(0.4x+2.9)=1.2x-5.8

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Solution for 8(0.4x+2.9)=1.2x-5.8 equation: 


Simplifying
8(0.4x + 2.9) = 1.2x + -5.8

Reorder the terms:
8(2.9 + 0.4x) = 1.2x + -5.8
(2.9 * 8 + 0.4x * 8) = 1.2x + -5.8
(23.2 + 3.2x) = 1.2x + -5.8

Reorder the terms:
23.2 + 3.2x = -5.8 + 1.2x

Solving
23.2 + 3.2x = -5.8 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
23.2 + 3.2x + -1.2x = -5.8 + 1.2x + -1.2x

Combine like terms: 3.2x + -1.2x = 2x
23.2 + 2x = -5.8 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
23.2 + 2x = -5.8 + 0.0
23.2 + 2x = -5.8

Add '-23.2' to each side of the equation.
23.2 + -23.2 + 2x = -5.8 + -23.2

Combine like terms: 23.2 + -23.2 = 0.0
0.0 + 2x = -5.8 + -23.2
2x = -5.8 + -23.2

Combine like terms: -5.8 + -23.2 = -29
2x = -29

Divide each side by '2'.
x = -14.5

Simplifying
x = -14.5

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