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

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


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

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

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

Reorder the terms:
-29 + 5x = 5 + -4(-6 + x)
-29 + 5x = 5 + (-6 * -4 + x * -4)
-29 + 5x = 5 + (24 + -4x)

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

Solving
-29 + 5x = 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.
-29 + 5x + 4x = 29 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-29 + 9x = 29 + -4x + 4x

Combine like terms: -4x + 4x = 0
-29 + 9x = 29 + 0
-29 + 9x = 29

Add '29' to each side of the equation.
-29 + 29 + 9x = 29 + 29

Combine like terms: -29 + 29 = 0
0 + 9x = 29 + 29
9x = 29 + 29

Combine like terms: 29 + 29 = 58
9x = 58

Divide each side by '9'.
x = 6.444444444

Simplifying
x = 6.444444444

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