7x+1.7-5.3x=.3x-4.6

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Solution for 7x+1.7-5.3x=.3x-4.6 equation:


Simplifying
7x + 1.7 + -5.3x = 0.3x + -4.6

Reorder the terms:
1.7 + 7x + -5.3x = 0.3x + -4.6

Combine like terms: 7x + -5.3x = 1.7x
1.7 + 1.7x = 0.3x + -4.6

Reorder the terms:
1.7 + 1.7x = -4.6 + 0.3x

Solving
1.7 + 1.7x = -4.6 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
1.7 + 1.7x + -0.3x = -4.6 + 0.3x + -0.3x

Combine like terms: 1.7x + -0.3x = 1.4x
1.7 + 1.4x = -4.6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
1.7 + 1.4x = -4.6 + 0.0
1.7 + 1.4x = -4.6

Add '-1.7' to each side of the equation.
1.7 + -1.7 + 1.4x = -4.6 + -1.7

Combine like terms: 1.7 + -1.7 = 0.0
0.0 + 1.4x = -4.6 + -1.7
1.4x = -4.6 + -1.7

Combine like terms: -4.6 + -1.7 = -6.3
1.4x = -6.3

Divide each side by '1.4'.
x = -4.5

Simplifying
x = -4.5

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