1.5(2x-15)+3.5x=4.14

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Solution for 1.5(2x-15)+3.5x=4.14 equation: 


Simplifying
1.5(2x + -15) + 3.5x = 4.14

Reorder the terms:
1.5(-15 + 2x) + 3.5x = 4.14
(-15 * 1.5 + 2x * 1.5) + 3.5x = 4.14
(-22.5 + 3x) + 3.5x = 4.14

Combine like terms: 3x + 3.5x = 6.5x
-22.5 + 6.5x = 4.14

Solving
-22.5 + 6.5x = 4.14

Solving for variable 'x'.

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

Add '22.5' to each side of the equation.
-22.5 + 22.5 + 6.5x = 4.14 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + 6.5x = 4.14 + 22.5
6.5x = 4.14 + 22.5

Combine like terms: 4.14 + 22.5 = 26.64
6.5x = 26.64

Divide each side by '6.5'.
x = 4.098461538

Simplifying
x = 4.098461538

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