3(4x-5)=3(3x+10)

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Solution for 3(4x-5)=3(3x+10) equation:


Simplifying
3(4x + -5) = 3(3x + 10)

Reorder the terms:
3(-5 + 4x) = 3(3x + 10)
(-5 * 3 + 4x * 3) = 3(3x + 10)
(-15 + 12x) = 3(3x + 10)

Reorder the terms:
-15 + 12x = 3(10 + 3x)
-15 + 12x = (10 * 3 + 3x * 3)
-15 + 12x = (30 + 9x)

Solving
-15 + 12x = 30 + 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.
-15 + 12x + -9x = 30 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-15 + 3x = 30 + 9x + -9x

Combine like terms: 9x + -9x = 0
-15 + 3x = 30 + 0
-15 + 3x = 30

Add '15' to each side of the equation.
-15 + 15 + 3x = 30 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 30 + 15
3x = 30 + 15

Combine like terms: 30 + 15 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

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