6+2(x-7)=5-4(x-6)

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Solution for 6+2(x-7)=5-4(x-6) equation: 


Simplifying
6 + 2(x + -7) = 5 + -4(x + -6)

Reorder the terms:
6 + 2(-7 + x) = 5 + -4(x + -6)
6 + (-7 * 2 + x * 2) = 5 + -4(x + -6)
6 + (-14 + 2x) = 5 + -4(x + -6)

Combine like terms: 6 + -14 = -8
-8 + 2x = 5 + -4(x + -6)

Reorder the terms:
-8 + 2x = 5 + -4(-6 + x)
-8 + 2x = 5 + (-6 * -4 + x * -4)
-8 + 2x = 5 + (24 + -4x)

Combine like terms: 5 + 24 = 29
-8 + 2x = 29 + -4x

Solving
-8 + 2x = 29 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8 + 2x + 4x = 29 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-8 + 6x = 29 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 6x = 29 + 0
-8 + 6x = 29

Add '8' to each side of the equation.
-8 + 8 + 6x = 29 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 29 + 8
6x = 29 + 8

Combine like terms: 29 + 8 = 37
6x = 37

Divide each side by '6'.
x = 6.166666667

Simplifying
x = 6.166666667

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