7(2-x)=2(8-3x)

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Solution for 7(2-x)=2(8-3x) equation:


Simplifying
7(2 + -1x) = 2(8 + -3x)
(2 * 7 + -1x * 7) = 2(8 + -3x)
(14 + -7x) = 2(8 + -3x)
14 + -7x = (8 * 2 + -3x * 2)
14 + -7x = (16 + -6x)

Solving
14 + -7x = 16 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
14 + -7x + 6x = 16 + -6x + 6x

Combine like terms: -7x + 6x = -1x
14 + -1x = 16 + -6x + 6x

Combine like terms: -6x + 6x = 0
14 + -1x = 16 + 0
14 + -1x = 16

Add '-14' to each side of the equation.
14 + -14 + -1x = 16 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 16 + -14
-1x = 16 + -14

Combine like terms: 16 + -14 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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