1.5x+3(2.4-x)=37.7+x

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Solution for 1.5x+3(2.4-x)=37.7+x equation: 


Simplifying
1.5x + 3(2.4 + -1x) = 37.7 + x
1.5x + (2.4 * 3 + -1x * 3) = 37.7 + x
1.5x + (7.2 + -3x) = 37.7 + x

Reorder the terms:
7.2 + 1.5x + -3x = 37.7 + x

Combine like terms: 1.5x + -3x = -1.5x
7.2 + -1.5x = 37.7 + x

Solving
7.2 + -1.5x = 37.7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7.2 + -1.5x + -1x = 37.7 + x + -1x

Combine like terms: -1.5x + -1x = -2.5x
7.2 + -2.5x = 37.7 + x + -1x

Combine like terms: x + -1x = 0
7.2 + -2.5x = 37.7 + 0
7.2 + -2.5x = 37.7

Add '-7.2' to each side of the equation.
7.2 + -7.2 + -2.5x = 37.7 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + -2.5x = 37.7 + -7.2
-2.5x = 37.7 + -7.2

Combine like terms: 37.7 + -7.2 = 30.5
-2.5x = 30.5

Divide each side by '-2.5'.
x = -12.2

Simplifying
x = -12.2

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