.7(3x-6)=1.1-(x+2)

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Solution for .7(3x-6)=1.1-(x+2) equation:


Simplifying
0.7(3x + -6) = 1.1 + -1(x + 2)

Reorder the terms:
0.7(-6 + 3x) = 1.1 + -1(x + 2)
(-6 * 0.7 + 3x * 0.7) = 1.1 + -1(x + 2)
(-4.2 + 2.1x) = 1.1 + -1(x + 2)

Reorder the terms:
-4.2 + 2.1x = 1.1 + -1(2 + x)
-4.2 + 2.1x = 1.1 + (2 * -1 + x * -1)
-4.2 + 2.1x = 1.1 + (-2 + -1x)

Combine like terms: 1.1 + -2 = -0.9
-4.2 + 2.1x = -0.9 + -1x

Solving
-4.2 + 2.1x = -0.9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4.2 + 2.1x + x = -0.9 + -1x + x

Combine like terms: 2.1x + x = 3.1x
-4.2 + 3.1x = -0.9 + -1x + x

Combine like terms: -1x + x = 0
-4.2 + 3.1x = -0.9 + 0
-4.2 + 3.1x = -0.9

Add '4.2' to each side of the equation.
-4.2 + 4.2 + 3.1x = -0.9 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + 3.1x = -0.9 + 4.2
3.1x = -0.9 + 4.2

Combine like terms: -0.9 + 4.2 = 3.3
3.1x = 3.3

Divide each side by '3.1'.
x = 1.064516129

Simplifying
x = 1.064516129

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