Answer :

altavistard
We are to solve this for x:   1.8-3.7x=-4.2x+0.3

Combine like terms.  First, add 4.2x to both sides.  This results in 1.8+0.5x = 0.3, and then 0.5x = 0.3-1.8.

Next, 0.05x = -1.5, or 5x = -150, and x = -30

Must check this result by substitution of -30 for x in the original equation.

Is  
1.8-3.7(-30)=-4.2(-30)+0.3 true or false?

The value of x in the equation 1.8-3.7x=-4.2x+0.3 is - 3.

1.8 - 3.7x = -4.2x + 0.3

add 3.7x to both sides

1.8 - 3.7x + 3.7x = -4.2x + 3.7x + 0.3

1.8 = -0.5x + 0.3

subtract 0.3 from both sides

1.8 - 0.3 = -0.5x + 0.3 - 0.3

1.5  = - 0.5x

divide both sides by - 0.5x

1.5 / -0.5 = -0.5x / -0.5

x = - 3

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