6(x+5)=9+2x-3

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Solution for 6(x+5)=9+2x-3 equation:


Simplifying
6(x + 5) = 9 + 2x + -3

Reorder the terms:
6(5 + x) = 9 + 2x + -3
(5 * 6 + x * 6) = 9 + 2x + -3
(30 + 6x) = 9 + 2x + -3

Reorder the terms:
30 + 6x = 9 + -3 + 2x

Combine like terms: 9 + -3 = 6
30 + 6x = 6 + 2x

Solving
30 + 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.
30 + 6x + -2x = 6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
30 + 4x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 4x = 6 + 0
30 + 4x = 6

Add '-30' to each side of the equation.
30 + -30 + 4x = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 6 + -30
4x = 6 + -30

Combine like terms: 6 + -30 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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