5(1-x)=3-2(3x-7)

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Solution for 5(1-x)=3-2(3x-7) equation:


Simplifying
5(1 + -1x) = 3 + -2(3x + -7)
(1 * 5 + -1x * 5) = 3 + -2(3x + -7)
(5 + -5x) = 3 + -2(3x + -7)

Reorder the terms:
5 + -5x = 3 + -2(-7 + 3x)
5 + -5x = 3 + (-7 * -2 + 3x * -2)
5 + -5x = 3 + (14 + -6x)

Combine like terms: 3 + 14 = 17
5 + -5x = 17 + -6x

Solving
5 + -5x = 17 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
5 + -5x + 6x = 17 + -6x + 6x

Combine like terms: -5x + 6x = 1x
5 + 1x = 17 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 1x = 17 + 0
5 + 1x = 17

Add '-5' to each side of the equation.
5 + -5 + 1x = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 17 + -5
1x = 17 + -5

Combine like terms: 17 + -5 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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