-5(5+25+3.1x)=6.2(2.5x+1.9)

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Solution for -5(5+25+3.1x)=6.2(2.5x+1.9) equation:


Simplifying
-5(5 + 25 + 3.1x) = 6.2(2.5x + 1.9)

Combine like terms: 5 + 25 = 30
-5(30 + 3.1x) = 6.2(2.5x + 1.9)
(30 * -5 + 3.1x * -5) = 6.2(2.5x + 1.9)
(-150 + -15.5x) = 6.2(2.5x + 1.9)

Reorder the terms:
-150 + -15.5x = 6.2(1.9 + 2.5x)
-150 + -15.5x = (1.9 * 6.2 + 2.5x * 6.2)
-150 + -15.5x = (11.78 + 15.5x)

Solving
-150 + -15.5x = 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.
-150 + -15.5x + -15.5x = 11.78 + 15.5x + -15.5x

Combine like terms: -15.5x + -15.5x = -31x
-150 + -31x = 11.78 + 15.5x + -15.5x

Combine like terms: 15.5x + -15.5x = 0.0
-150 + -31x = 11.78 + 0.0
-150 + -31x = 11.78

Add '150' to each side of the equation.
-150 + 150 + -31x = 11.78 + 150

Combine like terms: -150 + 150 = 0
0 + -31x = 11.78 + 150
-31x = 11.78 + 150

Combine like terms: 11.78 + 150 = 161.78
-31x = 161.78

Divide each side by '-31'.
x = -5.218709677

Simplifying
x = -5.218709677

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