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

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


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

Reorder the terms:
3(5 + 3x) = 4(x + 4)
(5 * 3 + 3x * 3) = 4(x + 4)
(15 + 9x) = 4(x + 4)

Reorder the terms:
15 + 9x = 4(4 + x)
15 + 9x = (4 * 4 + x * 4)
15 + 9x = (16 + 4x)

Solving
15 + 9x = 16 + 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 + 9x + -4x = 16 + 4x + -4x

Combine like terms: 9x + -4x = 5x
15 + 5x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 5x = 16 + 0
15 + 5x = 16

Add '-15' to each side of the equation.
15 + -15 + 5x = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 16 + -15
5x = 16 + -15

Combine like terms: 16 + -15 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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