5(x+4)-3(x+6)=9(x+1)

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Solution for 5(x+4)-3(x+6)=9(x+1) equation:


Simplifying
5(x + 4) + -3(x + 6) = 9(x + 1)

Reorder the terms:
5(4 + x) + -3(x + 6) = 9(x + 1)
(4 * 5 + x * 5) + -3(x + 6) = 9(x + 1)
(20 + 5x) + -3(x + 6) = 9(x + 1)

Reorder the terms:
20 + 5x + -3(6 + x) = 9(x + 1)
20 + 5x + (6 * -3 + x * -3) = 9(x + 1)
20 + 5x + (-18 + -3x) = 9(x + 1)

Reorder the terms:
20 + -18 + 5x + -3x = 9(x + 1)

Combine like terms: 20 + -18 = 2
2 + 5x + -3x = 9(x + 1)

Combine like terms: 5x + -3x = 2x
2 + 2x = 9(x + 1)

Reorder the terms:
2 + 2x = 9(1 + x)
2 + 2x = (1 * 9 + x * 9)
2 + 2x = (9 + 9x)

Solving
2 + 2x = 9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 2x + -9x = 9 + 9x + -9x

Combine like terms: 2x + -9x = -7x
2 + -7x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -7x = 9 + 0
2 + -7x = 9

Add '-2' to each side of the equation.
2 + -2 + -7x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 9 + -2
-7x = 9 + -2

Combine like terms: 9 + -2 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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