3+2(4x+6)=3(x-10)

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Solution for 3+2(4x+6)=3(x-10) equation: 


Simplifying
3 + 2(4x + 6) = 3(x + -10)

Reorder the terms:
3 + 2(6 + 4x) = 3(x + -10)
3 + (6 * 2 + 4x * 2) = 3(x + -10)
3 + (12 + 8x) = 3(x + -10)

Combine like terms: 3 + 12 = 15
15 + 8x = 3(x + -10)

Reorder the terms:
15 + 8x = 3(-10 + x)
15 + 8x = (-10 * 3 + x * 3)
15 + 8x = (-30 + 3x)

Solving
15 + 8x = -30 + 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.
15 + 8x + -3x = -30 + 3x + -3x

Combine like terms: 8x + -3x = 5x
15 + 5x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 5x = -30 + 0
15 + 5x = -30

Add '-15' to each side of the equation.
15 + -15 + 5x = -30 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = -30 + -15
5x = -30 + -15

Combine like terms: -30 + -15 = -45
5x = -45

Divide each side by '5'.
x = -9

Simplifying
x = -9

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