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

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


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

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

Combine like terms: 6 + -63 = -57
-57 + 7x = 9 + -4(x + -9)

Reorder the terms:
-57 + 7x = 9 + -4(-9 + x)
-57 + 7x = 9 + (-9 * -4 + x * -4)
-57 + 7x = 9 + (36 + -4x)

Combine like terms: 9 + 36 = 45
-57 + 7x = 45 + -4x

Solving
-57 + 7x = 45 + -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 + 7x + 4x = 45 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-57 + 11x = 45 + -4x + 4x

Combine like terms: -4x + 4x = 0
-57 + 11x = 45 + 0
-57 + 11x = 45

Add '57' to each side of the equation.
-57 + 57 + 11x = 45 + 57

Combine like terms: -57 + 57 = 0
0 + 11x = 45 + 57
11x = 45 + 57

Combine like terms: 45 + 57 = 102
11x = 102

Divide each side by '11'.
x = 9.272727273

Simplifying
x = 9.272727273

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