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

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Solution for 2.4(2x+3)=-0.1(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 = 5x
7.2 + 5x = -0.3 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
7.2 + 5x = -0.3 + 0.0
7.2 + 5x = -0.3

Add '-7.2' to each side of the equation.
7.2 + -7.2 + 5x = -0.3 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + 5x = -0.3 + -7.2
5x = -0.3 + -7.2

Combine like terms: -0.3 + -7.2 = -7.5
5x = -7.5

Divide each side by '5'.
x = -1.5

Simplifying
x = -1.5

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