5(2x+3)=3(x-9)

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Solution for 5(2x+3)=3(x-9) equation:


Simplifying
5(2x + 3) = 3(x + -9)

Reorder the terms:
5(3 + 2x) = 3(x + -9)
(3 * 5 + 2x * 5) = 3(x + -9)
(15 + 10x) = 3(x + -9)

Reorder the terms:
15 + 10x = 3(-9 + x)
15 + 10x = (-9 * 3 + x * 3)
15 + 10x = (-27 + 3x)

Solving
15 + 10x = -27 + 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.
15 + 10x + -3x = -27 + 3x + -3x

Combine like terms: 10x + -3x = 7x
15 + 7x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 7x = -27 + 0
15 + 7x = -27

Add '-15' to each side of the equation.
15 + -15 + 7x = -27 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = -27 + -15
7x = -27 + -15

Combine like terms: -27 + -15 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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