5(4-x)-2x=3-(x-1)

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Solution for 5(4-x)-2x=3-(x-1) equation:


Simplifying
5(4 + -1x) + -2x = 3 + -1(x + -1)
(4 * 5 + -1x * 5) + -2x = 3 + -1(x + -1)
(20 + -5x) + -2x = 3 + -1(x + -1)

Combine like terms: -5x + -2x = -7x
20 + -7x = 3 + -1(x + -1)

Reorder the terms:
20 + -7x = 3 + -1(-1 + x)
20 + -7x = 3 + (-1 * -1 + x * -1)
20 + -7x = 3 + (1 + -1x)

Combine like terms: 3 + 1 = 4
20 + -7x = 4 + -1x

Solving
20 + -7x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
20 + -7x + x = 4 + -1x + x

Combine like terms: -7x + x = -6x
20 + -6x = 4 + -1x + x

Combine like terms: -1x + x = 0
20 + -6x = 4 + 0
20 + -6x = 4

Add '-20' to each side of the equation.
20 + -20 + -6x = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = 4 + -20
-6x = 4 + -20

Combine like terms: 4 + -20 = -16
-6x = -16

Divide each side by '-6'.
x = 2.666666667

Simplifying
x = 2.666666667

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