3.2(4x+3.5)-2.2(2x-1)=-5.7(2x+3)-10.5

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Solution for 3.2(4x+3.5)-2.2(2x-1)=-5.7(2x+3)-10.5 equation: 


Simplifying
3.2(4x + 3.5) + -2.2(2x + -1) = -5.7(2x + 3) + -10.5

Reorder the terms:
3.2(3.5 + 4x) + -2.2(2x + -1) = -5.7(2x + 3) + -10.5
(3.5 * 3.2 + 4x * 3.2) + -2.2(2x + -1) = -5.7(2x + 3) + -10.5
(11.2 + 12.8x) + -2.2(2x + -1) = -5.7(2x + 3) + -10.5

Reorder the terms:
11.2 + 12.8x + -2.2(-1 + 2x) = -5.7(2x + 3) + -10.5
11.2 + 12.8x + (-1 * -2.2 + 2x * -2.2) = -5.7(2x + 3) + -10.5
11.2 + 12.8x + (2.2 + -4.4x) = -5.7(2x + 3) + -10.5

Reorder the terms:
11.2 + 2.2 + 12.8x + -4.4x = -5.7(2x + 3) + -10.5

Combine like terms: 11.2 + 2.2 = 13.4
13.4 + 12.8x + -4.4x = -5.7(2x + 3) + -10.5

Combine like terms: 12.8x + -4.4x = 8.4x
13.4 + 8.4x = -5.7(2x + 3) + -10.5

Reorder the terms:
13.4 + 8.4x = -5.7(3 + 2x) + -10.5
13.4 + 8.4x = (3 * -5.7 + 2x * -5.7) + -10.5
13.4 + 8.4x = (-17.1 + -11.4x) + -10.5

Reorder the terms:
13.4 + 8.4x = -17.1 + -10.5 + -11.4x

Combine like terms: -17.1 + -10.5 = -27.6
13.4 + 8.4x = -27.6 + -11.4x

Solving
13.4 + 8.4x = -27.6 + -11.4x

Solving for variable 'x'.

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

Add '11.4x' to each side of the equation.
13.4 + 8.4x + 11.4x = -27.6 + -11.4x + 11.4x

Combine like terms: 8.4x + 11.4x = 19.8x
13.4 + 19.8x = -27.6 + -11.4x + 11.4x

Combine like terms: -11.4x + 11.4x = 0.0
13.4 + 19.8x = -27.6 + 0.0
13.4 + 19.8x = -27.6

Add '-13.4' to each side of the equation.
13.4 + -13.4 + 19.8x = -27.6 + -13.4

Combine like terms: 13.4 + -13.4 = 0.0
0.0 + 19.8x = -27.6 + -13.4
19.8x = -27.6 + -13.4

Combine like terms: -27.6 + -13.4 = -41
19.8x = -41

Divide each side by '19.8'.
x = -2.070707071

Simplifying
x = -2.070707071

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