15(5.25+3.1x)=-6.2(2.5x+1.9)

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Solution for 15(5.25+3.1x)=-6.2(2.5x+1.9) equation: 


Simplifying
15(5.25 + 3.1x) = -6.2(2.5x + 1.9)
(5.25 * 15 + 3.1x * 15) = -6.2(2.5x + 1.9)
(78.75 + 46.5x) = -6.2(2.5x + 1.9)

Reorder the terms:
78.75 + 46.5x = -6.2(1.9 + 2.5x)
78.75 + 46.5x = (1.9 * -6.2 + 2.5x * -6.2)
78.75 + 46.5x = (-11.78 + -15.5x)

Solving
78.75 + 46.5x = -11.78 + -15.5x

Solving for variable 'x'.

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

Add '15.5x' to each side of the equation.
78.75 + 46.5x + 15.5x = -11.78 + -15.5x + 15.5x

Combine like terms: 46.5x + 15.5x = 62x
78.75 + 62x = -11.78 + -15.5x + 15.5x

Combine like terms: -15.5x + 15.5x = 0.0
78.75 + 62x = -11.78 + 0.0
78.75 + 62x = -11.78

Add '-78.75' to each side of the equation.
78.75 + -78.75 + 62x = -11.78 + -78.75

Combine like terms: 78.75 + -78.75 = 0.00
0.00 + 62x = -11.78 + -78.75
62x = -11.78 + -78.75

Combine like terms: -11.78 + -78.75 = -90.53
62x = -90.53

Divide each side by '62'.
x = -1.46016129

Simplifying
x = -1.46016129

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