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

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


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

Reorder the terms:
3(5 + x) = 2x + 6(x + -5)
(5 * 3 + x * 3) = 2x + 6(x + -5)
(15 + 3x) = 2x + 6(x + -5)

Reorder the terms:
15 + 3x = 2x + 6(-5 + x)
15 + 3x = 2x + (-5 * 6 + x * 6)
15 + 3x = 2x + (-30 + 6x)

Reorder the terms:
15 + 3x = -30 + 2x + 6x

Combine like terms: 2x + 6x = 8x
15 + 3x = -30 + 8x

Solving
15 + 3x = -30 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
15 + 3x + -8x = -30 + 8x + -8x

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

Combine like terms: 8x + -8x = 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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