9(x+6)-(x+8)5=30-(x-4)6

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Solution for 9(x+6)-(x+8)5=30-(x-4)6 equation: 


Simplifying
9(x + 6) + -1(x + 8) * 5 = 30 + -1(x + -4) * 6

Reorder the terms:
9(6 + x) + -1(x + 8) * 5 = 30 + -1(x + -4) * 6
(6 * 9 + x * 9) + -1(x + 8) * 5 = 30 + -1(x + -4) * 6
(54 + 9x) + -1(x + 8) * 5 = 30 + -1(x + -4) * 6

Reorder the terms:
54 + 9x + -1(8 + x) * 5 = 30 + -1(x + -4) * 6

Reorder the terms for easier multiplication:
54 + 9x + -1 * 5(8 + x) = 30 + -1(x + -4) * 6

Multiply -1 * 5
54 + 9x + -5(8 + x) = 30 + -1(x + -4) * 6
54 + 9x + (8 * -5 + x * -5) = 30 + -1(x + -4) * 6
54 + 9x + (-40 + -5x) = 30 + -1(x + -4) * 6

Reorder the terms:
54 + -40 + 9x + -5x = 30 + -1(x + -4) * 6

Combine like terms: 54 + -40 = 14
14 + 9x + -5x = 30 + -1(x + -4) * 6

Combine like terms: 9x + -5x = 4x
14 + 4x = 30 + -1(x + -4) * 6

Reorder the terms:
14 + 4x = 30 + -1(-4 + x) * 6

Reorder the terms for easier multiplication:
14 + 4x = 30 + -1 * 6(-4 + x)

Multiply -1 * 6
14 + 4x = 30 + -6(-4 + x)
14 + 4x = 30 + (-4 * -6 + x * -6)
14 + 4x = 30 + (24 + -6x)

Combine like terms: 30 + 24 = 54
14 + 4x = 54 + -6x

Solving
14 + 4x = 54 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
14 + 4x + 6x = 54 + -6x + 6x

Combine like terms: 4x + 6x = 10x
14 + 10x = 54 + -6x + 6x

Combine like terms: -6x + 6x = 0
14 + 10x = 54 + 0
14 + 10x = 54

Add '-14' to each side of the equation.
14 + -14 + 10x = 54 + -14

Combine like terms: 14 + -14 = 0
0 + 10x = 54 + -14
10x = 54 + -14

Combine like terms: 54 + -14 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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