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

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


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

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

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

Combine like terms: 30 + -6 = 24
24 + 6x = 2(x + 3)

Reorder the terms:
24 + 6x = 2(3 + x)
24 + 6x = (3 * 2 + x * 2)
24 + 6x = (6 + 2x)

Solving
24 + 6x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + 6x + -2x = 6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
24 + 4x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 4x = 6 + 0
24 + 4x = 6

Add '-24' to each side of the equation.
24 + -24 + 4x = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 6 + -24
4x = 6 + -24

Combine like terms: 6 + -24 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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