(4.2x+3.1)-(0.7x-2.7)=6.85

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Solution for (4.2x+3.1)-(0.7x-2.7)=6.85 equation: 


Simplifying
(4.2x + 3.1) + -1(0.7x + -2.7) = 6.85

Reorder the terms:
(3.1 + 4.2x) + -1(0.7x + -2.7) = 6.85

Remove parenthesis around (3.1 + 4.2x)
3.1 + 4.2x + -1(0.7x + -2.7) = 6.85

Reorder the terms:
3.1 + 4.2x + -1(-2.7 + 0.7x) = 6.85
3.1 + 4.2x + (-2.7 * -1 + 0.7x * -1) = 6.85
3.1 + 4.2x + (2.7 + -0.7x) = 6.85

Reorder the terms:
3.1 + 2.7 + 4.2x + -0.7x = 6.85

Combine like terms: 3.1 + 2.7 = 5.8
5.8 + 4.2x + -0.7x = 6.85

Combine like terms: 4.2x + -0.7x = 3.5x
5.8 + 3.5x = 6.85

Solving
5.8 + 3.5x = 6.85

Solving for variable 'x'.

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

Add '-5.8' to each side of the equation.
5.8 + -5.8 + 3.5x = 6.85 + -5.8

Combine like terms: 5.8 + -5.8 = 0.0
0.0 + 3.5x = 6.85 + -5.8
3.5x = 6.85 + -5.8

Combine like terms: 6.85 + -5.8 = 1.05
3.5x = 1.05

Divide each side by '3.5'.
x = 0.3

Simplifying
x = 0.3

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