13-7(x-4)=7-3(5+x)

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Solution for 13-7(x-4)=7-3(5+x) equation: 


Simplifying
13 + -7(x + -4) = 7 + -3(5 + x)

Reorder the terms:
13 + -7(-4 + x) = 7 + -3(5 + x)
13 + (-4 * -7 + x * -7) = 7 + -3(5 + x)
13 + (28 + -7x) = 7 + -3(5 + x)

Combine like terms: 13 + 28 = 41
41 + -7x = 7 + -3(5 + x)
41 + -7x = 7 + (5 * -3 + x * -3)
41 + -7x = 7 + (-15 + -3x)

Combine like terms: 7 + -15 = -8
41 + -7x = -8 + -3x

Solving
41 + -7x = -8 + -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.
41 + -7x + 3x = -8 + -3x + 3x

Combine like terms: -7x + 3x = -4x
41 + -4x = -8 + -3x + 3x

Combine like terms: -3x + 3x = 0
41 + -4x = -8 + 0
41 + -4x = -8

Add '-41' to each side of the equation.
41 + -41 + -4x = -8 + -41

Combine like terms: 41 + -41 = 0
0 + -4x = -8 + -41
-4x = -8 + -41

Combine like terms: -8 + -41 = -49
-4x = -49

Divide each side by '-4'.
x = 12.25

Simplifying
x = 12.25

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