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

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


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

Reorder the terms:
3(-3 + 6x) + 5 = 4(x + 6)
(-3 * 3 + 6x * 3) + 5 = 4(x + 6)
(-9 + 18x) + 5 = 4(x + 6)

Reorder the terms:
-9 + 5 + 18x = 4(x + 6)

Combine like terms: -9 + 5 = -4
-4 + 18x = 4(x + 6)

Reorder the terms:
-4 + 18x = 4(6 + x)
-4 + 18x = (6 * 4 + x * 4)
-4 + 18x = (24 + 4x)

Solving
-4 + 18x = 24 + 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.
-4 + 18x + -4x = 24 + 4x + -4x

Combine like terms: 18x + -4x = 14x
-4 + 14x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 14x = 24 + 0
-4 + 14x = 24

Add '4' to each side of the equation.
-4 + 4 + 14x = 24 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 24 + 4
14x = 24 + 4

Combine like terms: 24 + 4 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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