4(x+2)+10=6x-(x+9)

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Solution for 4(x+2)+10=6x-(x+9) equation:


Simplifying
4(x + 2) + 10 = 6x + -1(x + 9)

Reorder the terms:
4(2 + x) + 10 = 6x + -1(x + 9)
(2 * 4 + x * 4) + 10 = 6x + -1(x + 9)
(8 + 4x) + 10 = 6x + -1(x + 9)

Reorder the terms:
8 + 10 + 4x = 6x + -1(x + 9)

Combine like terms: 8 + 10 = 18
18 + 4x = 6x + -1(x + 9)

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

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

Combine like terms: 6x + -1x = 5x
18 + 4x = -9 + 5x

Solving
18 + 4x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 4x + -5x = -9 + 5x + -5x

Combine like terms: 4x + -5x = -1x
18 + -1x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -1x = -9 + 0
18 + -1x = -9

Add '-18' to each side of the equation.
18 + -18 + -1x = -9 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = -9 + -18
-1x = -9 + -18

Combine like terms: -9 + -18 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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