5x-3=2(1-x)

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


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

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

Solving
-3 + 5x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + 5x + 2x = 2 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-3 + 7x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 7x = 2 + 0
-3 + 7x = 2

Add '3' to each side of the equation.
-3 + 3 + 7x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 2 + 3
7x = 2 + 3

Combine like terms: 2 + 3 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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