2.4(2x+3)=.1(2x+3)

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Solution for 2.4(2x+3)=.1(2x+3) equation: 


Simplifying
2.4(2x + 3) = 0.1(2x + 3)

Reorder the terms:
2.4(3 + 2x) = 0.1(2x + 3)
(3 * 2.4 + 2x * 2.4) = 0.1(2x + 3)
(7.2 + 4.8x) = 0.1(2x + 3)

Reorder the terms:
7.2 + 4.8x = 0.1(3 + 2x)
7.2 + 4.8x = (3 * 0.1 + 2x * 0.1)
7.2 + 4.8x = (0.3 + 0.2x)

Solving
7.2 + 4.8x = 0.3 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
7.2 + 4.8x + -0.2x = 0.3 + 0.2x + -0.2x

Combine like terms: 4.8x + -0.2x = 4.6x
7.2 + 4.6x = 0.3 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
7.2 + 4.6x = 0.3 + 0.0
7.2 + 4.6x = 0.3

Add '-7.2' to each side of the equation.
7.2 + -7.2 + 4.6x = 0.3 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + 4.6x = 0.3 + -7.2
4.6x = 0.3 + -7.2

Combine like terms: 0.3 + -7.2 = -6.9
4.6x = -6.9

Divide each side by '4.6'.
x = -1.5

Simplifying
x = -1.5

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