-2(3x-1)+72=3(x-9)3

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Solution for -2(3x-1)+72=3(x-9)3 equation:


Simplifying
-2(3x + -1) + 72 = 3(x + -9) * 3

Reorder the terms:
-2(-1 + 3x) + 72 = 3(x + -9) * 3
(-1 * -2 + 3x * -2) + 72 = 3(x + -9) * 3
(2 + -6x) + 72 = 3(x + -9) * 3

Reorder the terms:
2 + 72 + -6x = 3(x + -9) * 3

Combine like terms: 2 + 72 = 74
74 + -6x = 3(x + -9) * 3

Reorder the terms:
74 + -6x = 3(-9 + x) * 3

Reorder the terms for easier multiplication:
74 + -6x = 3 * 3(-9 + x)

Multiply 3 * 3
74 + -6x = 9(-9 + x)
74 + -6x = (-9 * 9 + x * 9)
74 + -6x = (-81 + 9x)

Solving
74 + -6x = -81 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
74 + -6x + -9x = -81 + 9x + -9x

Combine like terms: -6x + -9x = -15x
74 + -15x = -81 + 9x + -9x

Combine like terms: 9x + -9x = 0
74 + -15x = -81 + 0
74 + -15x = -81

Add '-74' to each side of the equation.
74 + -74 + -15x = -81 + -74

Combine like terms: 74 + -74 = 0
0 + -15x = -81 + -74
-15x = -81 + -74

Combine like terms: -81 + -74 = -155
-15x = -155

Divide each side by '-15'.
x = 10.33333333

Simplifying
x = 10.33333333

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