18(2-x)=7(4-2x)

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Solution for 18(2-x)=7(4-2x) equation:


Simplifying
18(2 + -1x) = 7(4 + -2x)
(2 * 18 + -1x * 18) = 7(4 + -2x)
(36 + -18x) = 7(4 + -2x)
36 + -18x = (4 * 7 + -2x * 7)
36 + -18x = (28 + -14x)

Solving
36 + -18x = 28 + -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.
36 + -18x + 14x = 28 + -14x + 14x

Combine like terms: -18x + 14x = -4x
36 + -4x = 28 + -14x + 14x

Combine like terms: -14x + 14x = 0
36 + -4x = 28 + 0
36 + -4x = 28

Add '-36' to each side of the equation.
36 + -36 + -4x = 28 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = 28 + -36
-4x = 28 + -36

Combine like terms: 28 + -36 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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