x-2.2x+2.1=-5.4(x-3.5)

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Solution for x-2.2x+2.1=-5.4(x-3.5) equation:


Simplifying
x + -2.2x + 2.1 = -5.4(x + -3.5)

Reorder the terms:
2.1 + x + -2.2x = -5.4(x + -3.5)

Combine like terms: x + -2.2x = -1.2x
2.1 + -1.2x = -5.4(x + -3.5)

Reorder the terms:
2.1 + -1.2x = -5.4(-3.5 + x)
2.1 + -1.2x = (-3.5 * -5.4 + x * -5.4)
2.1 + -1.2x = (18.9 + -5.4x)

Solving
2.1 + -1.2x = 18.9 + -5.4x

Solving for variable 'x'.

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

Add '5.4x' to each side of the equation.
2.1 + -1.2x + 5.4x = 18.9 + -5.4x + 5.4x

Combine like terms: -1.2x + 5.4x = 4.2x
2.1 + 4.2x = 18.9 + -5.4x + 5.4x

Combine like terms: -5.4x + 5.4x = 0.0
2.1 + 4.2x = 18.9 + 0.0
2.1 + 4.2x = 18.9

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 4.2x = 18.9 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 4.2x = 18.9 + -2.1
4.2x = 18.9 + -2.1

Combine like terms: 18.9 + -2.1 = 16.8
4.2x = 16.8

Divide each side by '4.2'.
x = 4

Simplifying
x = 4

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