6(x+3)+10x=8x+3(x-9)

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Solution for 6(x+3)+10x=8x+3(x-9) equation:


Simplifying
6(x + 3) + 10x = 8x + 3(x + -9)

Reorder the terms:
6(3 + x) + 10x = 8x + 3(x + -9)
(3 * 6 + x * 6) + 10x = 8x + 3(x + -9)
(18 + 6x) + 10x = 8x + 3(x + -9)

Combine like terms: 6x + 10x = 16x
18 + 16x = 8x + 3(x + -9)

Reorder the terms:
18 + 16x = 8x + 3(-9 + x)
18 + 16x = 8x + (-9 * 3 + x * 3)
18 + 16x = 8x + (-27 + 3x)

Reorder the terms:
18 + 16x = -27 + 8x + 3x

Combine like terms: 8x + 3x = 11x
18 + 16x = -27 + 11x

Solving
18 + 16x = -27 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
18 + 16x + -11x = -27 + 11x + -11x

Combine like terms: 16x + -11x = 5x
18 + 5x = -27 + 11x + -11x

Combine like terms: 11x + -11x = 0
18 + 5x = -27 + 0
18 + 5x = -27

Add '-18' to each side of the equation.
18 + -18 + 5x = -27 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = -27 + -18
5x = -27 + -18

Combine like terms: -27 + -18 = -45
5x = -45

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

Simplifying
x = -9

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