-3(x-7)=7(4-x)-8

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Solution for -3(x-7)=7(4-x)-8 equation: 


Simplifying
-3(x + -7) = 7(4 + -1x) + -8

Reorder the terms:
-3(-7 + x) = 7(4 + -1x) + -8
(-7 * -3 + x * -3) = 7(4 + -1x) + -8
(21 + -3x) = 7(4 + -1x) + -8
21 + -3x = (4 * 7 + -1x * 7) + -8
21 + -3x = (28 + -7x) + -8

Reorder the terms:
21 + -3x = 28 + -8 + -7x

Combine like terms: 28 + -8 = 20
21 + -3x = 20 + -7x

Solving
21 + -3x = 20 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
21 + -3x + 7x = 20 + -7x + 7x

Combine like terms: -3x + 7x = 4x
21 + 4x = 20 + -7x + 7x

Combine like terms: -7x + 7x = 0
21 + 4x = 20 + 0
21 + 4x = 20

Add '-21' to each side of the equation.
21 + -21 + 4x = 20 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = 20 + -21
4x = 20 + -21

Combine like terms: 20 + -21 = -1
4x = -1

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

Simplifying
x = -0.25

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