7x-3(x-4)=x-9

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Solution for 7x-3(x-4)=x-9 equation:


Simplifying
7x + -3(x + -4) = x + -9

Reorder the terms:
7x + -3(-4 + x) = x + -9
7x + (-4 * -3 + x * -3) = x + -9
7x + (12 + -3x) = x + -9

Reorder the terms:
12 + 7x + -3x = x + -9

Combine like terms: 7x + -3x = 4x
12 + 4x = x + -9

Reorder the terms:
12 + 4x = -9 + x

Solving
12 + 4x = -9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 4x + -1x = -9 + x + -1x

Combine like terms: 4x + -1x = 3x
12 + 3x = -9 + x + -1x

Combine like terms: x + -1x = 0
12 + 3x = -9 + 0
12 + 3x = -9

Add '-12' to each side of the equation.
12 + -12 + 3x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -9 + -12
3x = -9 + -12

Combine like terms: -9 + -12 = -21
3x = -21

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

Simplifying
x = -7

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