-3(x-7)=4-(2x+3)-8

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Solution for -3(x-7)=4-(2x+3)-8 equation: 


Simplifying
-3(x + -7) = 4 + -1(2x + 3) + -8

Reorder the terms:
-3(-7 + x) = 4 + -1(2x + 3) + -8
(-7 * -3 + x * -3) = 4 + -1(2x + 3) + -8
(21 + -3x) = 4 + -1(2x + 3) + -8

Reorder the terms:
21 + -3x = 4 + -1(3 + 2x) + -8
21 + -3x = 4 + (3 * -1 + 2x * -1) + -8
21 + -3x = 4 + (-3 + -2x) + -8

Reorder the terms:
21 + -3x = 4 + -3 + -8 + -2x

Combine like terms: 4 + -3 = 1
21 + -3x = 1 + -8 + -2x

Combine like terms: 1 + -8 = -7
21 + -3x = -7 + -2x

Solving
21 + -3x = -7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
21 + -3x + 2x = -7 + -2x + 2x

Combine like terms: -3x + 2x = -1x
21 + -1x = -7 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + -1x = -7 + 0
21 + -1x = -7

Add '-21' to each side of the equation.
21 + -21 + -1x = -7 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = -7 + -21
-1x = -7 + -21

Combine like terms: -7 + -21 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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