x+1.8x+1.1=-6.7(x-3)

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Solution for x+1.8x+1.1=-6.7(x-3) equation: 


Simplifying
x + 1.8x + 1.1 = -6.7(x + -3)

Reorder the terms:
1.1 + x + 1.8x = -6.7(x + -3)

Combine like terms: x + 1.8x = 2.8x
1.1 + 2.8x = -6.7(x + -3)

Reorder the terms:
1.1 + 2.8x = -6.7(-3 + x)
1.1 + 2.8x = (-3 * -6.7 + x * -6.7)
1.1 + 2.8x = (20.1 + -6.7x)

Solving
1.1 + 2.8x = 20.1 + -6.7x

Solving for variable 'x'.

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

Add '6.7x' to each side of the equation.
1.1 + 2.8x + 6.7x = 20.1 + -6.7x + 6.7x

Combine like terms: 2.8x + 6.7x = 9.5x
1.1 + 9.5x = 20.1 + -6.7x + 6.7x

Combine like terms: -6.7x + 6.7x = 0.0
1.1 + 9.5x = 20.1 + 0.0
1.1 + 9.5x = 20.1

Add '-1.1' to each side of the equation.
1.1 + -1.1 + 9.5x = 20.1 + -1.1

Combine like terms: 1.1 + -1.1 = 0.0
0.0 + 9.5x = 20.1 + -1.1
9.5x = 20.1 + -1.1

Combine like terms: 20.1 + -1.1 = 19
9.5x = 19

Divide each side by '9.5'.
x = 2

Simplifying
x = 2

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