4.2(x-2)=-1.1(2-x)

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Solution for 4.2(x-2)=-1.1(2-x) equation:


Simplifying
4.2(x + -2) = -1.1(2 + -1x)

Reorder the terms:
4.2(-2 + x) = -1.1(2 + -1x)
(-2 * 4.2 + x * 4.2) = -1.1(2 + -1x)
(-8.4 + 4.2x) = -1.1(2 + -1x)
-8.4 + 4.2x = (2 * -1.1 + -1x * -1.1)
-8.4 + 4.2x = (-2.2 + 1.1x)

Solving
-8.4 + 4.2x = -2.2 + 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
-8.4 + 4.2x + -1.1x = -2.2 + 1.1x + -1.1x

Combine like terms: 4.2x + -1.1x = 3.1x
-8.4 + 3.1x = -2.2 + 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
-8.4 + 3.1x = -2.2 + 0.0
-8.4 + 3.1x = -2.2

Add '8.4' to each side of the equation.
-8.4 + 8.4 + 3.1x = -2.2 + 8.4

Combine like terms: -8.4 + 8.4 = 0.0
0.0 + 3.1x = -2.2 + 8.4
3.1x = -2.2 + 8.4

Combine like terms: -2.2 + 8.4 = 6.2
3.1x = 6.2

Divide each side by '3.1'.
x = 2

Simplifying
x = 2

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