10-3(3x-4)=49-6x

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Solution for 10-3(3x-4)=49-6x equation:


Simplifying
10 + -3(3x + -4) = 49 + -6x

Reorder the terms:
10 + -3(-4 + 3x) = 49 + -6x
10 + (-4 * -3 + 3x * -3) = 49 + -6x
10 + (12 + -9x) = 49 + -6x

Combine like terms: 10 + 12 = 22
22 + -9x = 49 + -6x

Solving
22 + -9x = 49 + -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.
22 + -9x + 6x = 49 + -6x + 6x

Combine like terms: -9x + 6x = -3x
22 + -3x = 49 + -6x + 6x

Combine like terms: -6x + 6x = 0
22 + -3x = 49 + 0
22 + -3x = 49

Add '-22' to each side of the equation.
22 + -22 + -3x = 49 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 49 + -22
-3x = 49 + -22

Combine like terms: 49 + -22 = 27
-3x = 27

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

Simplifying
x = -9

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