3(x-6)+12(2x+5)=10(2x+7)

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Solution for 3(x-6)+12(2x+5)=10(2x+7) equation:


Simplifying
3(x + -6) + 12(2x + 5) = 10(2x + 7)

Reorder the terms:
3(-6 + x) + 12(2x + 5) = 10(2x + 7)
(-6 * 3 + x * 3) + 12(2x + 5) = 10(2x + 7)
(-18 + 3x) + 12(2x + 5) = 10(2x + 7)

Reorder the terms:
-18 + 3x + 12(5 + 2x) = 10(2x + 7)
-18 + 3x + (5 * 12 + 2x * 12) = 10(2x + 7)
-18 + 3x + (60 + 24x) = 10(2x + 7)

Reorder the terms:
-18 + 60 + 3x + 24x = 10(2x + 7)

Combine like terms: -18 + 60 = 42
42 + 3x + 24x = 10(2x + 7)

Combine like terms: 3x + 24x = 27x
42 + 27x = 10(2x + 7)

Reorder the terms:
42 + 27x = 10(7 + 2x)
42 + 27x = (7 * 10 + 2x * 10)
42 + 27x = (70 + 20x)

Solving
42 + 27x = 70 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
42 + 27x + -20x = 70 + 20x + -20x

Combine like terms: 27x + -20x = 7x
42 + 7x = 70 + 20x + -20x

Combine like terms: 20x + -20x = 0
42 + 7x = 70 + 0
42 + 7x = 70

Add '-42' to each side of the equation.
42 + -42 + 7x = 70 + -42

Combine like terms: 42 + -42 = 0
0 + 7x = 70 + -42
7x = 70 + -42

Combine like terms: 70 + -42 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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