0.7(8x+16)=1.2(x+2)

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Solution for 0.7(8x+16)=1.2(x+2) equation: 


Simplifying
0.7(8x + 16) = 1.2(x + 2)

Reorder the terms:
0.7(16 + 8x) = 1.2(x + 2)
(16 * 0.7 + 8x * 0.7) = 1.2(x + 2)
(11.2 + 5.6x) = 1.2(x + 2)

Reorder the terms:
11.2 + 5.6x = 1.2(2 + x)
11.2 + 5.6x = (2 * 1.2 + x * 1.2)
11.2 + 5.6x = (2.4 + 1.2x)

Solving
11.2 + 5.6x = 2.4 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
11.2 + 5.6x + -1.2x = 2.4 + 1.2x + -1.2x

Combine like terms: 5.6x + -1.2x = 4.4x
11.2 + 4.4x = 2.4 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
11.2 + 4.4x = 2.4 + 0.0
11.2 + 4.4x = 2.4

Add '-11.2' to each side of the equation.
11.2 + -11.2 + 4.4x = 2.4 + -11.2

Combine like terms: 11.2 + -11.2 = 0.0
0.0 + 4.4x = 2.4 + -11.2
4.4x = 2.4 + -11.2

Combine like terms: 2.4 + -11.2 = -8.8
4.4x = -8.8

Divide each side by '4.4'.
x = -2

Simplifying
x = -2

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