5*(4-x)=(2-x)*7

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Solution for 5*(4-x)=(2-x)*7 equation:


Simplifying
5(4 + -1x) = (2 + -1x) * 7
(4 * 5 + -1x * 5) = (2 + -1x) * 7
(20 + -5x) = (2 + -1x) * 7

Reorder the terms for easier multiplication:
20 + -5x = 7(2 + -1x)
20 + -5x = (2 * 7 + -1x * 7)
20 + -5x = (14 + -7x)

Solving
20 + -5x = 14 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
20 + -5x + 7x = 14 + -7x + 7x

Combine like terms: -5x + 7x = 2x
20 + 2x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
20 + 2x = 14 + 0
20 + 2x = 14

Add '-20' to each side of the equation.
20 + -20 + 2x = 14 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 14 + -20
2x = 14 + -20

Combine like terms: 14 + -20 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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