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

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


Simplifying
0 = 9(x + -5) + 7(x + 3)

Reorder the terms:
0 = 9(-5 + x) + 7(x + 3)
0 = (-5 * 9 + x * 9) + 7(x + 3)
0 = (-45 + 9x) + 7(x + 3)

Reorder the terms:
0 = -45 + 9x + 7(3 + x)
0 = -45 + 9x + (3 * 7 + x * 7)
0 = -45 + 9x + (21 + 7x)

Reorder the terms:
0 = -45 + 21 + 9x + 7x

Combine like terms: -45 + 21 = -24
0 = -24 + 9x + 7x

Combine like terms: 9x + 7x = 16x
0 = -24 + 16x

Solving
0 = -24 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
0 + -16x = -24 + 16x + -16x
Remove the zero:
-16x = -24 + 16x + -16x

Combine like terms: 16x + -16x = 0
-16x = -24 + 0
-16x = -24

Divide each side by '-16'.
x = 1.5

Simplifying
x = 1.5

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