1-3x=2(5-x)

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


Simplifying
1 + -3x = 2(5 + -1x)
1 + -3x = (5 * 2 + -1x * 2)
1 + -3x = (10 + -2x)

Solving
1 + -3x = 10 + -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.
1 + -3x + 2x = 10 + -2x + 2x

Combine like terms: -3x + 2x = -1x
1 + -1x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + -1x = 10 + 0
1 + -1x = 10

Add '-1' to each side of the equation.
1 + -1 + -1x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 10 + -1
-1x = 10 + -1

Combine like terms: 10 + -1 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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