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

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


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

Reorder the terms:
5 + 1 + -5x + -2x = -3(2 + x)

Combine like terms: 5 + 1 = 6
6 + -5x + -2x = -3(2 + x)

Combine like terms: -5x + -2x = -7x
6 + -7x = -3(2 + x)
6 + -7x = (2 * -3 + x * -3)
6 + -7x = (-6 + -3x)

Solving
6 + -7x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -7x + 3x = -6 + -3x + 3x

Combine like terms: -7x + 3x = -4x
6 + -4x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -4x = -6 + 0
6 + -4x = -6

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

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

Combine like terms: -6 + -6 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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