6x-3(x-4)=7

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Solution for 6x-3(x-4)=7 equation:


Simplifying
6x + -3(x + -4) = 7

Reorder the terms:
6x + -3(-4 + x) = 7
6x + (-4 * -3 + x * -3) = 7
6x + (12 + -3x) = 7

Reorder the terms:
12 + 6x + -3x = 7

Combine like terms: 6x + -3x = 3x
12 + 3x = 7

Solving
12 + 3x = 7

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 3x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 7 + -12
3x = 7 + -12

Combine like terms: 7 + -12 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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