1.5-(x+3)=3.2-6(x+1.1)-2.3(x+1)

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Solution for 1.5-(x+3)=3.2-6(x+1.1)-2.3(x+1) equation:


Simplifying
1.5 + -1(x + 3) = 3.2 + -6(x + 1.1) + -2.3(x + 1)

Reorder the terms:
1.5 + -1(3 + x) = 3.2 + -6(x + 1.1) + -2.3(x + 1)
1.5 + (3 * -1 + x * -1) = 3.2 + -6(x + 1.1) + -2.3(x + 1)
1.5 + (-3 + -1x) = 3.2 + -6(x + 1.1) + -2.3(x + 1)

Combine like terms: 1.5 + -3 = -1.5
-1.5 + -1x = 3.2 + -6(x + 1.1) + -2.3(x + 1)

Reorder the terms:
-1.5 + -1x = 3.2 + -6(1.1 + x) + -2.3(x + 1)
-1.5 + -1x = 3.2 + (1.1 * -6 + x * -6) + -2.3(x + 1)
-1.5 + -1x = 3.2 + (-6.6 + -6x) + -2.3(x + 1)

Reorder the terms:
-1.5 + -1x = 3.2 + -6.6 + -6x + -2.3(1 + x)
-1.5 + -1x = 3.2 + -6.6 + -6x + (1 * -2.3 + x * -2.3)
-1.5 + -1x = 3.2 + -6.6 + -6x + (-2.3 + -2.3x)

Reorder the terms:
-1.5 + -1x = 3.2 + -6.6 + -2.3 + -6x + -2.3x

Combine like terms: 3.2 + -6.6 = -3.4
-1.5 + -1x = -3.4 + -2.3 + -6x + -2.3x

Combine like terms: -3.4 + -2.3 = -5.7
-1.5 + -1x = -5.7 + -6x + -2.3x

Combine like terms: -6x + -2.3x = -8.3x
-1.5 + -1x = -5.7 + -8.3x

Solving
-1.5 + -1x = -5.7 + -8.3x

Solving for variable 'x'.

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

Add '8.3x' to each side of the equation.
-1.5 + -1x + 8.3x = -5.7 + -8.3x + 8.3x

Combine like terms: -1x + 8.3x = 7.3x
-1.5 + 7.3x = -5.7 + -8.3x + 8.3x

Combine like terms: -8.3x + 8.3x = 0.0
-1.5 + 7.3x = -5.7 + 0.0
-1.5 + 7.3x = -5.7

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 7.3x = -5.7 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 7.3x = -5.7 + 1.5
7.3x = -5.7 + 1.5

Combine like terms: -5.7 + 1.5 = -4.2
7.3x = -4.2

Divide each side by '7.3'.
x = -0.5753424658

Simplifying
x = -0.5753424658

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