6+7(x-5)=4-5(x-5)

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Solution for 6+7(x-5)=4-5(x-5) equation: 


Simplifying
6 + 7(x + -5) = 4 + -5(x + -5)

Reorder the terms:
6 + 7(-5 + x) = 4 + -5(x + -5)
6 + (-5 * 7 + x * 7) = 4 + -5(x + -5)
6 + (-35 + 7x) = 4 + -5(x + -5)

Combine like terms: 6 + -35 = -29
-29 + 7x = 4 + -5(x + -5)

Reorder the terms:
-29 + 7x = 4 + -5(-5 + x)
-29 + 7x = 4 + (-5 * -5 + x * -5)
-29 + 7x = 4 + (25 + -5x)

Combine like terms: 4 + 25 = 29
-29 + 7x = 29 + -5x

Solving
-29 + 7x = 29 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-29 + 7x + 5x = 29 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-29 + 12x = 29 + -5x + 5x

Combine like terms: -5x + 5x = 0
-29 + 12x = 29 + 0
-29 + 12x = 29

Add '29' to each side of the equation.
-29 + 29 + 12x = 29 + 29

Combine like terms: -29 + 29 = 0
0 + 12x = 29 + 29
12x = 29 + 29

Combine like terms: 29 + 29 = 58
12x = 58

Divide each side by '12'.
x = 4.833333333

Simplifying
x = 4.833333333

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