3+.1(21-x)=1.4x-(.6x-3.3)

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Solution for 3+.1(21-x)=1.4x-(.6x-3.3) equation:


Simplifying
3 + 0.1(21 + -1x) = 1.4x + -1(0.6x + -3.3)
3 + (21 * 0.1 + -1x * 0.1) = 1.4x + -1(0.6x + -3.3)
3 + (2.1 + -0.1x) = 1.4x + -1(0.6x + -3.3)

Combine like terms: 3 + 2.1 = 5.1
5.1 + -0.1x = 1.4x + -1(0.6x + -3.3)

Reorder the terms:
5.1 + -0.1x = 1.4x + -1(-3.3 + 0.6x)
5.1 + -0.1x = 1.4x + (-3.3 * -1 + 0.6x * -1)
5.1 + -0.1x = 1.4x + (3.3 + -0.6x)

Reorder the terms:
5.1 + -0.1x = 3.3 + 1.4x + -0.6x

Combine like terms: 1.4x + -0.6x = 0.8x
5.1 + -0.1x = 3.3 + 0.8x

Solving
5.1 + -0.1x = 3.3 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
5.1 + -0.1x + -0.8x = 3.3 + 0.8x + -0.8x

Combine like terms: -0.1x + -0.8x = -0.9x
5.1 + -0.9x = 3.3 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
5.1 + -0.9x = 3.3 + 0.0
5.1 + -0.9x = 3.3

Add '-5.1' to each side of the equation.
5.1 + -5.1 + -0.9x = 3.3 + -5.1

Combine like terms: 5.1 + -5.1 = 0.0
0.0 + -0.9x = 3.3 + -5.1
-0.9x = 3.3 + -5.1

Combine like terms: 3.3 + -5.1 = -1.8
-0.9x = -1.8

Divide each side by '-0.9'.
x = 2

Simplifying
x = 2

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