0.3x-2.1=5-1.7(x-1)

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Solution for 0.3x-2.1=5-1.7(x-1) equation: 


Simplifying
0.3x + -2.1 = 5 + -1.7(x + -1)

Reorder the terms:
-2.1 + 0.3x = 5 + -1.7(x + -1)

Reorder the terms:
-2.1 + 0.3x = 5 + -1.7(-1 + x)
-2.1 + 0.3x = 5 + (-1 * -1.7 + x * -1.7)
-2.1 + 0.3x = 5 + (1.7 + -1.7x)

Combine like terms: 5 + 1.7 = 6.7
-2.1 + 0.3x = 6.7 + -1.7x

Solving
-2.1 + 0.3x = 6.7 + -1.7x

Solving for variable 'x'.

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

Add '1.7x' to each side of the equation.
-2.1 + 0.3x + 1.7x = 6.7 + -1.7x + 1.7x

Combine like terms: 0.3x + 1.7x = 2x
-2.1 + 2x = 6.7 + -1.7x + 1.7x

Combine like terms: -1.7x + 1.7x = 0.0
-2.1 + 2x = 6.7 + 0.0
-2.1 + 2x = 6.7

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 2x = 6.7 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 2x = 6.7 + 2.1
2x = 6.7 + 2.1

Combine like terms: 6.7 + 2.1 = 8.8
2x = 8.8

Divide each side by '2'.
x = 4.4

Simplifying
x = 4.4

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