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

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


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

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

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

Reorder the terms:
-29 + 5x = 4 + -6(-7 + x)
-29 + 5x = 4 + (-7 * -6 + x * -6)
-29 + 5x = 4 + (42 + -6x)

Combine like terms: 4 + 42 = 46
-29 + 5x = 46 + -6x

Solving
-29 + 5x = 46 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-29 + 5x + 6x = 46 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-29 + 11x = 46 + -6x + 6x

Combine like terms: -6x + 6x = 0
-29 + 11x = 46 + 0
-29 + 11x = 46

Add '29' to each side of the equation.
-29 + 29 + 11x = 46 + 29

Combine like terms: -29 + 29 = 0
0 + 11x = 46 + 29
11x = 46 + 29

Combine like terms: 46 + 29 = 75
11x = 75

Divide each side by '11'.
x = 6.818181818

Simplifying
x = 6.818181818

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