-3(1-3x)=10x-4(6+2x)

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Solution for -3(1-3x)=10x-4(6+2x) equation: 


Simplifying
-3(1 + -3x) = 10x + -4(6 + 2x)
(1 * -3 + -3x * -3) = 10x + -4(6 + 2x)
(-3 + 9x) = 10x + -4(6 + 2x)
-3 + 9x = 10x + (6 * -4 + 2x * -4)
-3 + 9x = 10x + (-24 + -8x)

Reorder the terms:
-3 + 9x = -24 + 10x + -8x

Combine like terms: 10x + -8x = 2x
-3 + 9x = -24 + 2x

Solving
-3 + 9x = -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 + 9x + -2x = -24 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-3 + 7x = -24 + 0
-3 + 7x = -24

Add '3' to each side of the equation.
-3 + 3 + 7x = -24 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = -24 + 3
7x = -24 + 3

Combine like terms: -24 + 3 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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