6+9(x-7)=9-4(x-8)

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Solution for 6+9(x-7)=9-4(x-8) equation:


Simplifying
6 + 9(x + -7) = 9 + -4(x + -8)

Reorder the terms:
6 + 9(-7 + x) = 9 + -4(x + -8)
6 + (-7 * 9 + x * 9) = 9 + -4(x + -8)
6 + (-63 + 9x) = 9 + -4(x + -8)

Combine like terms: 6 + -63 = -57
-57 + 9x = 9 + -4(x + -8)

Reorder the terms:
-57 + 9x = 9 + -4(-8 + x)
-57 + 9x = 9 + (-8 * -4 + x * -4)
-57 + 9x = 9 + (32 + -4x)

Combine like terms: 9 + 32 = 41
-57 + 9x = 41 + -4x

Solving
-57 + 9x = 41 + -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.
-57 + 9x + 4x = 41 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-57 + 13x = 41 + -4x + 4x

Combine like terms: -4x + 4x = 0
-57 + 13x = 41 + 0
-57 + 13x = 41

Add '57' to each side of the equation.
-57 + 57 + 13x = 41 + 57

Combine like terms: -57 + 57 = 0
0 + 13x = 41 + 57
13x = 41 + 57

Combine like terms: 41 + 57 = 98
13x = 98

Divide each side by '13'.
x = 7.538461538

Simplifying
x = 7.538461538

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