2.4+6=1.4+0.5(6x-9)

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Solution for 2.4+6=1.4+0.5(6x-9) equation: 


Simplifying
2.4 + 6 = 1.4 + 0.5(6x + -9)

Combine like terms: 2.4 + 6 = 8.4
8.4 = 1.4 + 0.5(6x + -9)

Reorder the terms:
8.4 = 1.4 + 0.5(-9 + 6x)
8.4 = 1.4 + (-9 * 0.5 + 6x * 0.5)
8.4 = 1.4 + (-4.5 + 3x)

Combine like terms: 1.4 + -4.5 = -3.1
8.4 = -3.1 + 3x

Solving
8.4 = -3.1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8.4 + -3x = -3.1 + 3x + -3x

Combine like terms: 3x + -3x = 0
8.4 + -3x = -3.1 + 0
8.4 + -3x = -3.1

Add '-8.4' to each side of the equation.
8.4 + -8.4 + -3x = -3.1 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + -3x = -3.1 + -8.4
-3x = -3.1 + -8.4

Combine like terms: -3.1 + -8.4 = -11.5
-3x = -11.5

Divide each side by '-3'.
x = 3.833333333

Simplifying
x = 3.833333333

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