32.86-6.8x=-(7.1x-6.62)-6.1x

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Solution for 32.86-6.8x=-(7.1x-6.62)-6.1x equation: 


Simplifying
32.86 + -6.8x = -1(7.1x + -6.62) + -6.1x

Reorder the terms:
32.86 + -6.8x = -1(-6.62 + 7.1x) + -6.1x
32.86 + -6.8x = (-6.62 * -1 + 7.1x * -1) + -6.1x
32.86 + -6.8x = (6.62 + -7.1x) + -6.1x

Combine like terms: -7.1x + -6.1x = -13.2x
32.86 + -6.8x = 6.62 + -13.2x

Solving
32.86 + -6.8x = 6.62 + -13.2x

Solving for variable 'x'.

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

Add '13.2x' to each side of the equation.
32.86 + -6.8x + 13.2x = 6.62 + -13.2x + 13.2x

Combine like terms: -6.8x + 13.2x = 6.4x
32.86 + 6.4x = 6.62 + -13.2x + 13.2x

Combine like terms: -13.2x + 13.2x = 0.0
32.86 + 6.4x = 6.62 + 0.0
32.86 + 6.4x = 6.62

Add '-32.86' to each side of the equation.
32.86 + -32.86 + 6.4x = 6.62 + -32.86

Combine like terms: 32.86 + -32.86 = 0.00
0.00 + 6.4x = 6.62 + -32.86
6.4x = 6.62 + -32.86

Combine like terms: 6.62 + -32.86 = -26.24
6.4x = -26.24

Divide each side by '6.4'.
x = -4.1

Simplifying
x = -4.1

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