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

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


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

Reorder the terms:
7 + -7x = 3(-3 + x)
7 + -7x = (-3 * 3 + x * 3)
7 + -7x = (-9 + 3x)

Solving
7 + -7x = -9 + 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.
7 + -7x + -3x = -9 + 3x + -3x

Combine like terms: -7x + -3x = -10x
7 + -10x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -10x = -9 + 0
7 + -10x = -9

Add '-7' to each side of the equation.
7 + -7 + -10x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = -9 + -7
-10x = -9 + -7

Combine like terms: -9 + -7 = -16
-10x = -16

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6

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