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

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


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

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

Reorder the terms:
15 + 3x = 2(9 + 2x)
15 + 3x = (9 * 2 + 2x * 2)
15 + 3x = (18 + 4x)

Solving
15 + 3x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 3x + -4x = 18 + 4x + -4x

Combine like terms: 3x + -4x = -1x
15 + -1x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -1x = 18 + 0
15 + -1x = 18

Add '-15' to each side of the equation.
15 + -15 + -1x = 18 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 18 + -15
-1x = 18 + -15

Combine like terms: 18 + -15 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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