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

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


Simplifying
9(6 + -2x) = 2(2 + -7x)
(6 * 9 + -2x * 9) = 2(2 + -7x)
(54 + -18x) = 2(2 + -7x)
54 + -18x = (2 * 2 + -7x * 2)
54 + -18x = (4 + -14x)

Solving
54 + -18x = 4 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
54 + -18x + 14x = 4 + -14x + 14x

Combine like terms: -18x + 14x = -4x
54 + -4x = 4 + -14x + 14x

Combine like terms: -14x + 14x = 0
54 + -4x = 4 + 0
54 + -4x = 4

Add '-54' to each side of the equation.
54 + -54 + -4x = 4 + -54

Combine like terms: 54 + -54 = 0
0 + -4x = 4 + -54
-4x = 4 + -54

Combine like terms: 4 + -54 = -50
-4x = -50

Divide each side by '-4'.
x = 12.5

Simplifying
x = 12.5

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