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

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


Simplifying
2(3 + -1x) = 5 + -7(3 + -2x)
(3 * 2 + -1x * 2) = 5 + -7(3 + -2x)
(6 + -2x) = 5 + -7(3 + -2x)
6 + -2x = 5 + (3 * -7 + -2x * -7)
6 + -2x = 5 + (-21 + 14x)

Combine like terms: 5 + -21 = -16
6 + -2x = -16 + 14x

Solving
6 + -2x = -16 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
6 + -2x + -14x = -16 + 14x + -14x

Combine like terms: -2x + -14x = -16x
6 + -16x = -16 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -16x = -16 + 0
6 + -16x = -16

Add '-6' to each side of the equation.
6 + -6 + -16x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -16x = -16 + -6
-16x = -16 + -6

Combine like terms: -16 + -6 = -22
-16x = -22

Divide each side by '-16'.
x = 1.375

Simplifying
x = 1.375

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