6(2x-3)+3x=5(2x+6)+30

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Solution for 6(2x-3)+3x=5(2x+6)+30 equation:


Simplifying
6(2x + -3) + 3x = 5(2x + 6) + 30

Reorder the terms:
6(-3 + 2x) + 3x = 5(2x + 6) + 30
(-3 * 6 + 2x * 6) + 3x = 5(2x + 6) + 30
(-18 + 12x) + 3x = 5(2x + 6) + 30

Combine like terms: 12x + 3x = 15x
-18 + 15x = 5(2x + 6) + 30

Reorder the terms:
-18 + 15x = 5(6 + 2x) + 30
-18 + 15x = (6 * 5 + 2x * 5) + 30
-18 + 15x = (30 + 10x) + 30

Reorder the terms:
-18 + 15x = 30 + 30 + 10x

Combine like terms: 30 + 30 = 60
-18 + 15x = 60 + 10x

Solving
-18 + 15x = 60 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-18 + 15x + -10x = 60 + 10x + -10x

Combine like terms: 15x + -10x = 5x
-18 + 5x = 60 + 10x + -10x

Combine like terms: 10x + -10x = 0
-18 + 5x = 60 + 0
-18 + 5x = 60

Add '18' to each side of the equation.
-18 + 18 + 5x = 60 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 60 + 18
5x = 60 + 18

Combine like terms: 60 + 18 = 78
5x = 78

Divide each side by '5'.
x = 15.6

Simplifying
x = 15.6

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