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

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


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

Reorder the terms:
3(-10 + 5x) = 3(x + 4)
(-10 * 3 + 5x * 3) = 3(x + 4)
(-30 + 15x) = 3(x + 4)

Reorder the terms:
-30 + 15x = 3(4 + x)
-30 + 15x = (4 * 3 + x * 3)
-30 + 15x = (12 + 3x)

Solving
-30 + 15x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-30 + 15x + -3x = 12 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-30 + 12x = 12 + 0
-30 + 12x = 12

Add '30' to each side of the equation.
-30 + 30 + 12x = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 12x = 12 + 30
12x = 12 + 30

Combine like terms: 12 + 30 = 42
12x = 42

Divide each side by '12'.
x = 3.5

Simplifying
x = 3.5

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