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

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


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

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

Solving
7 + -7x = 6 + -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 = 6 + -3x + 3x

Combine like terms: -7x + 3x = -4x
7 + -4x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + -4x = 6 + 0
7 + -4x = 6

Add '-7' to each side of the equation.
7 + -7 + -4x = 6 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 6 + -7
-4x = 6 + -7

Combine like terms: 6 + -7 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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