9+3(x-4)-10x=6x-4(x-6)

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Solution for 9+3(x-4)-10x=6x-4(x-6) equation:


Simplifying
9 + 3(x + -4) + -10x = 6x + -4(x + -6)

Reorder the terms:
9 + 3(-4 + x) + -10x = 6x + -4(x + -6)
9 + (-4 * 3 + x * 3) + -10x = 6x + -4(x + -6)
9 + (-12 + 3x) + -10x = 6x + -4(x + -6)

Combine like terms: 9 + -12 = -3
-3 + 3x + -10x = 6x + -4(x + -6)

Combine like terms: 3x + -10x = -7x
-3 + -7x = 6x + -4(x + -6)

Reorder the terms:
-3 + -7x = 6x + -4(-6 + x)
-3 + -7x = 6x + (-6 * -4 + x * -4)
-3 + -7x = 6x + (24 + -4x)

Reorder the terms:
-3 + -7x = 24 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-3 + -7x = 24 + 2x

Solving
-3 + -7x = 24 + 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.
-3 + -7x + -2x = 24 + 2x + -2x

Combine like terms: -7x + -2x = -9x
-3 + -9x = 24 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -9x = 24 + 0
-3 + -9x = 24

Add '3' to each side of the equation.
-3 + 3 + -9x = 24 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = 24 + 3
-9x = 24 + 3

Combine like terms: 24 + 3 = 27
-9x = 27

Divide each side by '-9'.
x = -3

Simplifying
x = -3

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