4(x+5)=3(3x-6)

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Solution for 4(x+5)=3(3x-6) equation:


Simplifying
4(x + 5) = 3(3x + -6)

Reorder the terms:
4(5 + x) = 3(3x + -6)
(5 * 4 + x * 4) = 3(3x + -6)
(20 + 4x) = 3(3x + -6)

Reorder the terms:
20 + 4x = 3(-6 + 3x)
20 + 4x = (-6 * 3 + 3x * 3)
20 + 4x = (-18 + 9x)

Solving
20 + 4x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 4x + -9x = -18 + 9x + -9x

Combine like terms: 4x + -9x = -5x
20 + -5x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -5x = -18 + 0
20 + -5x = -18

Add '-20' to each side of the equation.
20 + -20 + -5x = -18 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -18 + -20
-5x = -18 + -20

Combine like terms: -18 + -20 = -38
-5x = -38

Divide each side by '-5'.
x = 7.6

Simplifying
x = 7.6

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