10x+66.2=0.2x-2.4

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Solution for 10x+66.2=0.2x-2.4 equation:


Simplifying
10x + 66.2 = 0.2x + -2.4

Reorder the terms:
66.2 + 10x = 0.2x + -2.4

Reorder the terms:
66.2 + 10x = -2.4 + 0.2x

Solving
66.2 + 10x = -2.4 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
66.2 + 10x + -0.2x = -2.4 + 0.2x + -0.2x

Combine like terms: 10x + -0.2x = 9.8x
66.2 + 9.8x = -2.4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
66.2 + 9.8x = -2.4 + 0.0
66.2 + 9.8x = -2.4

Add '-66.2' to each side of the equation.
66.2 + -66.2 + 9.8x = -2.4 + -66.2

Combine like terms: 66.2 + -66.2 = 0.0
0.0 + 9.8x = -2.4 + -66.2
9.8x = -2.4 + -66.2

Combine like terms: -2.4 + -66.2 = -68.6
9.8x = -68.6

Divide each side by '9.8'.
x = -7

Simplifying
x = -7

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