8+7(-x+4)=5-3x+12

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Solution for 8+7(-x+4)=5-3x+12 equation: 


Simplifying
8 + 7(-1x + 4) = 5 + -3x + 12

Reorder the terms:
8 + 7(4 + -1x) = 5 + -3x + 12
8 + (4 * 7 + -1x * 7) = 5 + -3x + 12
8 + (28 + -7x) = 5 + -3x + 12

Combine like terms: 8 + 28 = 36
36 + -7x = 5 + -3x + 12

Reorder the terms:
36 + -7x = 5 + 12 + -3x

Combine like terms: 5 + 12 = 17
36 + -7x = 17 + -3x

Solving
36 + -7x = 17 + -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.
36 + -7x + 3x = 17 + -3x + 3x

Combine like terms: -7x + 3x = -4x
36 + -4x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + -4x = 17 + 0
36 + -4x = 17

Add '-36' to each side of the equation.
36 + -36 + -4x = 17 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = 17 + -36
-4x = 17 + -36

Combine like terms: 17 + -36 = -19
-4x = -19

Divide each side by '-4'.
x = 4.75

Simplifying
x = 4.75

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