0.6(4x+8)=1.1(x+2)

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Solution for 0.6(4x+8)=1.1(x+2) equation:


Simplifying
0.6(4x + 8) = 1.1(x + 2)

Reorder the terms:
0.6(8 + 4x) = 1.1(x + 2)
(8 * 0.6 + 4x * 0.6) = 1.1(x + 2)
(4.8 + 2.4x) = 1.1(x + 2)

Reorder the terms:
4.8 + 2.4x = 1.1(2 + x)
4.8 + 2.4x = (2 * 1.1 + x * 1.1)
4.8 + 2.4x = (2.2 + 1.1x)

Solving
4.8 + 2.4x = 2.2 + 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
4.8 + 2.4x + -1.1x = 2.2 + 1.1x + -1.1x

Combine like terms: 2.4x + -1.1x = 1.3x
4.8 + 1.3x = 2.2 + 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
4.8 + 1.3x = 2.2 + 0.0
4.8 + 1.3x = 2.2

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 1.3x = 2.2 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 1.3x = 2.2 + -4.8
1.3x = 2.2 + -4.8

Combine like terms: 2.2 + -4.8 = -2.6
1.3x = -2.6

Divide each side by '1.3'.
x = -2

Simplifying
x = -2

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