6x+18=7-(4x+9)

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Solution for 6x+18=7-(4x+9) equation:


Simplifying
6x + 18 = 7 + -1(4x + 9)

Reorder the terms:
18 + 6x = 7 + -1(4x + 9)

Reorder the terms:
18 + 6x = 7 + -1(9 + 4x)
18 + 6x = 7 + (9 * -1 + 4x * -1)
18 + 6x = 7 + (-9 + -4x)

Combine like terms: 7 + -9 = -2
18 + 6x = -2 + -4x

Solving
18 + 6x = -2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
18 + 6x + 4x = -2 + -4x + 4x

Combine like terms: 6x + 4x = 10x
18 + 10x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
18 + 10x = -2 + 0
18 + 10x = -2

Add '-18' to each side of the equation.
18 + -18 + 10x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + 10x = -2 + -18
10x = -2 + -18

Combine like terms: -2 + -18 = -20
10x = -20

Divide each side by '10'.
x = -2

Simplifying
x = -2

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