5(1+2x)=9(x-4)

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Solution for 5(1+2x)=9(x-4) equation:


Simplifying
5(1 + 2x) = 9(x + -4)
(1 * 5 + 2x * 5) = 9(x + -4)
(5 + 10x) = 9(x + -4)

Reorder the terms:
5 + 10x = 9(-4 + x)
5 + 10x = (-4 * 9 + x * 9)
5 + 10x = (-36 + 9x)

Solving
5 + 10x = -36 + 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.
5 + 10x + -9x = -36 + 9x + -9x

Combine like terms: 10x + -9x = 1x
5 + 1x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + 1x = -36 + 0
5 + 1x = -36

Add '-5' to each side of the equation.
5 + -5 + 1x = -36 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -36 + -5
1x = -36 + -5

Combine like terms: -36 + -5 = -41
1x = -41

Divide each side by '1'.
x = -41

Simplifying
x = -41

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