6(2-9x)=2x-7

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Solution for 6(2-9x)=2x-7 equation:


Simplifying
6(2 + -9x) = 2x + -7
(2 * 6 + -9x * 6) = 2x + -7
(12 + -54x) = 2x + -7

Reorder the terms:
12 + -54x = -7 + 2x

Solving
12 + -54x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + -54x + -2x = -7 + 2x + -2x

Combine like terms: -54x + -2x = -56x
12 + -56x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -56x = -7 + 0
12 + -56x = -7

Add '-12' to each side of the equation.
12 + -12 + -56x = -7 + -12

Combine like terms: 12 + -12 = 0
0 + -56x = -7 + -12
-56x = -7 + -12

Combine like terms: -7 + -12 = -19
-56x = -19

Divide each side by '-56'.
x = 0.3392857143

Simplifying
x = 0.3392857143

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