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

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


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

Reorder the terms:
7 + 9(-9 + x) = 4 + -6(x + -9)
7 + (-9 * 9 + x * 9) = 4 + -6(x + -9)
7 + (-81 + 9x) = 4 + -6(x + -9)

Combine like terms: 7 + -81 = -74
-74 + 9x = 4 + -6(x + -9)

Reorder the terms:
-74 + 9x = 4 + -6(-9 + x)
-74 + 9x = 4 + (-9 * -6 + x * -6)
-74 + 9x = 4 + (54 + -6x)

Combine like terms: 4 + 54 = 58
-74 + 9x = 58 + -6x

Solving
-74 + 9x = 58 + -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.
-74 + 9x + 6x = 58 + -6x + 6x

Combine like terms: 9x + 6x = 15x
-74 + 15x = 58 + -6x + 6x

Combine like terms: -6x + 6x = 0
-74 + 15x = 58 + 0
-74 + 15x = 58

Add '74' to each side of the equation.
-74 + 74 + 15x = 58 + 74

Combine like terms: -74 + 74 = 0
0 + 15x = 58 + 74
15x = 58 + 74

Combine like terms: 58 + 74 = 132
15x = 132

Divide each side by '15'.
x = 8.8

Simplifying
x = 8.8

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