7(3-2x)=14-6(x-2)

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Solution for 7(3-2x)=14-6(x-2) equation:


Simplifying
7(3 + -2x) = 14 + -6(x + -2)
(3 * 7 + -2x * 7) = 14 + -6(x + -2)
(21 + -14x) = 14 + -6(x + -2)

Reorder the terms:
21 + -14x = 14 + -6(-2 + x)
21 + -14x = 14 + (-2 * -6 + x * -6)
21 + -14x = 14 + (12 + -6x)

Combine like terms: 14 + 12 = 26
21 + -14x = 26 + -6x

Solving
21 + -14x = 26 + -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.
21 + -14x + 6x = 26 + -6x + 6x

Combine like terms: -14x + 6x = -8x
21 + -8x = 26 + -6x + 6x

Combine like terms: -6x + 6x = 0
21 + -8x = 26 + 0
21 + -8x = 26

Add '-21' to each side of the equation.
21 + -21 + -8x = 26 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = 26 + -21
-8x = 26 + -21

Combine like terms: 26 + -21 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

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