0.7(6x-3)=1.1-(x+3)

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Solution for 0.7(6x-3)=1.1-(x+3) equation: 


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

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

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

Combine like terms: 1.1 + -3 = -1.9
-2.1 + 4.2x = -1.9 + -1x

Solving
-2.1 + 4.2x = -1.9 + -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.
-2.1 + 4.2x + x = -1.9 + -1x + x

Combine like terms: 4.2x + x = 5.2x
-2.1 + 5.2x = -1.9 + -1x + x

Combine like terms: -1x + x = 0
-2.1 + 5.2x = -1.9 + 0
-2.1 + 5.2x = -1.9

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 5.2x = -1.9 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 5.2x = -1.9 + 2.1
5.2x = -1.9 + 2.1

Combine like terms: -1.9 + 2.1 = 0.2
5.2x = 0.2

Divide each side by '5.2'.
x = 0.03846153846

Simplifying
x = 0.03846153846

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