x-5.3x-6.7=1.9(x+3)

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Solution for x-5.3x-6.7=1.9(x+3) equation: 


Simplifying
x + -5.3x + -6.7 = 1.9(x + 3)

Reorder the terms:
-6.7 + x + -5.3x = 1.9(x + 3)

Combine like terms: x + -5.3x = -4.3x
-6.7 + -4.3x = 1.9(x + 3)

Reorder the terms:
-6.7 + -4.3x = 1.9(3 + x)
-6.7 + -4.3x = (3 * 1.9 + x * 1.9)
-6.7 + -4.3x = (5.7 + 1.9x)

Solving
-6.7 + -4.3x = 5.7 + 1.9x

Solving for variable 'x'.

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

Add '-1.9x' to each side of the equation.
-6.7 + -4.3x + -1.9x = 5.7 + 1.9x + -1.9x

Combine like terms: -4.3x + -1.9x = -6.2x
-6.7 + -6.2x = 5.7 + 1.9x + -1.9x

Combine like terms: 1.9x + -1.9x = 0.0
-6.7 + -6.2x = 5.7 + 0.0
-6.7 + -6.2x = 5.7

Add '6.7' to each side of the equation.
-6.7 + 6.7 + -6.2x = 5.7 + 6.7

Combine like terms: -6.7 + 6.7 = 0.0
0.0 + -6.2x = 5.7 + 6.7
-6.2x = 5.7 + 6.7

Combine like terms: 5.7 + 6.7 = 12.4
-6.2x = 12.4

Divide each side by '-6.2'.
x = -2

Simplifying
x = -2

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