3(2x+3)=5(x-4)

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Solution for 3(2x+3)=5(x-4) equation:


Simplifying
3(2x + 3) = 5(x + -4)

Reorder the terms:
3(3 + 2x) = 5(x + -4)
(3 * 3 + 2x * 3) = 5(x + -4)
(9 + 6x) = 5(x + -4)

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

Solving
9 + 6x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 6x + -5x = -20 + 5x + -5x

Combine like terms: 6x + -5x = 1x
9 + 1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + 1x = -20 + 0
9 + 1x = -20

Add '-9' to each side of the equation.
9 + -9 + 1x = -20 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = -20 + -9
1x = -20 + -9

Combine like terms: -20 + -9 = -29
1x = -29

Divide each side by '1'.
x = -29

Simplifying
x = -29

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