7+9(x-8)=10-3(x-5)

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Solution for 7+9(x-8)=10-3(x-5) equation:


Simplifying
7 + 9(x + -8) = 10 + -3(x + -5)

Reorder the terms:
7 + 9(-8 + x) = 10 + -3(x + -5)
7 + (-8 * 9 + x * 9) = 10 + -3(x + -5)
7 + (-72 + 9x) = 10 + -3(x + -5)

Combine like terms: 7 + -72 = -65
-65 + 9x = 10 + -3(x + -5)

Reorder the terms:
-65 + 9x = 10 + -3(-5 + x)
-65 + 9x = 10 + (-5 * -3 + x * -3)
-65 + 9x = 10 + (15 + -3x)

Combine like terms: 10 + 15 = 25
-65 + 9x = 25 + -3x

Solving
-65 + 9x = 25 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-65 + 9x + 3x = 25 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-65 + 12x = 25 + -3x + 3x

Combine like terms: -3x + 3x = 0
-65 + 12x = 25 + 0
-65 + 12x = 25

Add '65' to each side of the equation.
-65 + 65 + 12x = 25 + 65

Combine like terms: -65 + 65 = 0
0 + 12x = 25 + 65
12x = 25 + 65

Combine like terms: 25 + 65 = 90
12x = 90

Divide each side by '12'.
x = 7.5

Simplifying
x = 7.5

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