3(3x+15)=2(4x+4)

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Solution for 3(3x+15)=2(4x+4) equation:


Simplifying
3(3x + 15) = 2(4x + 4)

Reorder the terms:
3(15 + 3x) = 2(4x + 4)
(15 * 3 + 3x * 3) = 2(4x + 4)
(45 + 9x) = 2(4x + 4)

Reorder the terms:
45 + 9x = 2(4 + 4x)
45 + 9x = (4 * 2 + 4x * 2)
45 + 9x = (8 + 8x)

Solving
45 + 9x = 8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
45 + 9x + -8x = 8 + 8x + -8x

Combine like terms: 9x + -8x = 1x
45 + 1x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
45 + 1x = 8 + 0
45 + 1x = 8

Add '-45' to each side of the equation.
45 + -45 + 1x = 8 + -45

Combine like terms: 45 + -45 = 0
0 + 1x = 8 + -45
1x = 8 + -45

Combine like terms: 8 + -45 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37

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