2.5(1.2x+6)=1.92+8(4.3x+2.42)

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Solution for 2.5(1.2x+6)=1.92+8(4.3x+2.42) equation:


Simplifying
2.5(1.2x + 6) = 1.92 + 8(4.3x + 2.42)

Reorder the terms:
2.5(6 + 1.2x) = 1.92 + 8(4.3x + 2.42)
(6 * 2.5 + 1.2x * 2.5) = 1.92 + 8(4.3x + 2.42)
(15 + 3x) = 1.92 + 8(4.3x + 2.42)

Reorder the terms:
15 + 3x = 1.92 + 8(2.42 + 4.3x)
15 + 3x = 1.92 + (2.42 * 8 + 4.3x * 8)
15 + 3x = 1.92 + (19.36 + 34.4x)

Combine like terms: 1.92 + 19.36 = 21.28
15 + 3x = 21.28 + 34.4x

Solving
15 + 3x = 21.28 + 34.4x

Solving for variable 'x'.

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

Add '-34.4x' to each side of the equation.
15 + 3x + -34.4x = 21.28 + 34.4x + -34.4x

Combine like terms: 3x + -34.4x = -31.4x
15 + -31.4x = 21.28 + 34.4x + -34.4x

Combine like terms: 34.4x + -34.4x = 0.0
15 + -31.4x = 21.28 + 0.0
15 + -31.4x = 21.28

Add '-15' to each side of the equation.
15 + -15 + -31.4x = 21.28 + -15

Combine like terms: 15 + -15 = 0
0 + -31.4x = 21.28 + -15
-31.4x = 21.28 + -15

Combine like terms: 21.28 + -15 = 6.28
-31.4x = 6.28

Divide each side by '-31.4'.
x = -0.2

Simplifying
x = -0.2

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