0.7(3x+2)=1.1-(x-2)

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Solution for 0.7(3x+2)=1.1-(x-2) equation: 


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

Reorder the terms:
0.7(2 + 3x) = 1.1 + -1(x + -2)
(2 * 0.7 + 3x * 0.7) = 1.1 + -1(x + -2)
(1.4 + 2.1x) = 1.1 + -1(x + -2)

Reorder the terms:
1.4 + 2.1x = 1.1 + -1(-2 + x)
1.4 + 2.1x = 1.1 + (-2 * -1 + x * -1)
1.4 + 2.1x = 1.1 + (2 + -1x)

Combine like terms: 1.1 + 2 = 3.1
1.4 + 2.1x = 3.1 + -1x

Solving
1.4 + 2.1x = 3.1 + -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.
1.4 + 2.1x + x = 3.1 + -1x + x

Combine like terms: 2.1x + x = 3.1x
1.4 + 3.1x = 3.1 + -1x + x

Combine like terms: -1x + x = 0
1.4 + 3.1x = 3.1 + 0
1.4 + 3.1x = 3.1

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 3.1x = 3.1 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 3.1x = 3.1 + -1.4
3.1x = 3.1 + -1.4

Combine like terms: 3.1 + -1.4 = 1.7
3.1x = 1.7

Divide each side by '3.1'.
x = 0.5483870968

Simplifying
x = 0.5483870968

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