5(3x+9)=4(2x-3)

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Solution for 5(3x+9)=4(2x-3) equation:


Simplifying
5(3x + 9) = 4(2x + -3)

Reorder the terms:
5(9 + 3x) = 4(2x + -3)
(9 * 5 + 3x * 5) = 4(2x + -3)
(45 + 15x) = 4(2x + -3)

Reorder the terms:
45 + 15x = 4(-3 + 2x)
45 + 15x = (-3 * 4 + 2x * 4)
45 + 15x = (-12 + 8x)

Solving
45 + 15x = -12 + 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 + 15x + -8x = -12 + 8x + -8x

Combine like terms: 15x + -8x = 7x
45 + 7x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
45 + 7x = -12 + 0
45 + 7x = -12

Add '-45' to each side of the equation.
45 + -45 + 7x = -12 + -45

Combine like terms: 45 + -45 = 0
0 + 7x = -12 + -45
7x = -12 + -45

Combine like terms: -12 + -45 = -57
7x = -57

Divide each side by '7'.
x = -8.142857143

Simplifying
x = -8.142857143

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