3.2(x+1.5)=2.4x-2.7+1.4x

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Solution for 3.2(x+1.5)=2.4x-2.7+1.4x equation: 


Simplifying
3.2(x + 1.5) = 2.4x + -2.7 + 1.4x

Reorder the terms:
3.2(1.5 + x) = 2.4x + -2.7 + 1.4x
(1.5 * 3.2 + x * 3.2) = 2.4x + -2.7 + 1.4x
(4.8 + 3.2x) = 2.4x + -2.7 + 1.4x

Reorder the terms:
4.8 + 3.2x = -2.7 + 2.4x + 1.4x

Combine like terms: 2.4x + 1.4x = 3.8x
4.8 + 3.2x = -2.7 + 3.8x

Solving
4.8 + 3.2x = -2.7 + 3.8x

Solving for variable 'x'.

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

Add '-3.8x' to each side of the equation.
4.8 + 3.2x + -3.8x = -2.7 + 3.8x + -3.8x

Combine like terms: 3.2x + -3.8x = -0.6x
4.8 + -0.6x = -2.7 + 3.8x + -3.8x

Combine like terms: 3.8x + -3.8x = 0.0
4.8 + -0.6x = -2.7 + 0.0
4.8 + -0.6x = -2.7

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -0.6x = -2.7 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -0.6x = -2.7 + -4.8
-0.6x = -2.7 + -4.8

Combine like terms: -2.7 + -4.8 = -7.5
-0.6x = -7.5

Divide each side by '-0.6'.
x = 12.5

Simplifying
x = 12.5

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