4x+1.2(6x+6)=2(4x+3)

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Solution for 4x+1.2(6x+6)=2(4x+3) equation:


Simplifying
4x + 1.2(6x + 6) = 2(4x + 3)

Reorder the terms:
4x + 1.2(6 + 6x) = 2(4x + 3)
4x + (6 * 1.2 + 6x * 1.2) = 2(4x + 3)
4x + (7.2 + 7.2x) = 2(4x + 3)

Reorder the terms:
7.2 + 4x + 7.2x = 2(4x + 3)

Combine like terms: 4x + 7.2x = 11.2x
7.2 + 11.2x = 2(4x + 3)

Reorder the terms:
7.2 + 11.2x = 2(3 + 4x)
7.2 + 11.2x = (3 * 2 + 4x * 2)
7.2 + 11.2x = (6 + 8x)

Solving
7.2 + 11.2x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7.2 + 11.2x + -8x = 6 + 8x + -8x

Combine like terms: 11.2x + -8x = 3.2x
7.2 + 3.2x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
7.2 + 3.2x = 6 + 0
7.2 + 3.2x = 6

Add '-7.2' to each side of the equation.
7.2 + -7.2 + 3.2x = 6 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + 3.2x = 6 + -7.2
3.2x = 6 + -7.2

Combine like terms: 6 + -7.2 = -1.2
3.2x = -1.2

Divide each side by '3.2'.
x = -0.375

Simplifying
x = -0.375

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