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

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


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

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

Combine like terms: 3x + 4x = 7x
-18 + 7x = 5(x + 6)

Reorder the terms:
-18 + 7x = 5(6 + x)
-18 + 7x = (6 * 5 + x * 5)
-18 + 7x = (30 + 5x)

Solving
-18 + 7x = 30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 7x + -5x = 30 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-18 + 2x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 2x = 30 + 0
-18 + 2x = 30

Add '18' to each side of the equation.
-18 + 18 + 2x = 30 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 30 + 18
2x = 30 + 18

Combine like terms: 30 + 18 = 48
2x = 48

Divide each side by '2'.
x = 24

Simplifying
x = 24

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