5(x-6)+8(x+9)=5(9)

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Solution for 5(x-6)+8(x+9)=5(9) equation:


Simplifying
5(x + -6) + 8(x + 9) = 5(9)

Reorder the terms:
5(-6 + x) + 8(x + 9) = 5(9)
(-6 * 5 + x * 5) + 8(x + 9) = 5(9)
(-30 + 5x) + 8(x + 9) = 5(9)

Reorder the terms:
-30 + 5x + 8(9 + x) = 5(9)
-30 + 5x + (9 * 8 + x * 8) = 5(9)
-30 + 5x + (72 + 8x) = 5(9)

Reorder the terms:
-30 + 72 + 5x + 8x = 5(9)

Combine like terms: -30 + 72 = 42
42 + 5x + 8x = 5(9)

Combine like terms: 5x + 8x = 13x
42 + 13x = 5(9)

Multiply 5 * 9
42 + 13x = 45

Solving
42 + 13x = 45

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 13x = 45 + -42

Combine like terms: 42 + -42 = 0
0 + 13x = 45 + -42
13x = 45 + -42

Combine like terms: 45 + -42 = 3
13x = 3

Divide each side by '13'.
x = 0.2307692308

Simplifying
x = 0.2307692308

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