8.3x+10=6-(2-3x)

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Solution for 8.3x+10=6-(2-3x) equation:


Simplifying
8.3x + 10 = 6 + -1(2 + -3x)

Reorder the terms:
10 + 8.3x = 6 + -1(2 + -3x)
10 + 8.3x = 6 + (2 * -1 + -3x * -1)
10 + 8.3x = 6 + (-2 + 3x)

Combine like terms: 6 + -2 = 4
10 + 8.3x = 4 + 3x

Solving
10 + 8.3x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 8.3x + -3x = 4 + 3x + -3x

Combine like terms: 8.3x + -3x = 5.3x
10 + 5.3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 5.3x = 4 + 0
10 + 5.3x = 4

Add '-10' to each side of the equation.
10 + -10 + 5.3x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 5.3x = 4 + -10
5.3x = 4 + -10

Combine like terms: 4 + -10 = -6
5.3x = -6

Divide each side by '5.3'.
x = -1.132075472

Simplifying
x = -1.132075472

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