4x-7(x-3)=6

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


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

Reorder the terms:
4x + -7(-3 + x) = 6
4x + (-3 * -7 + x * -7) = 6
4x + (21 + -7x) = 6

Reorder the terms:
21 + 4x + -7x = 6

Combine like terms: 4x + -7x = -3x
21 + -3x = 6

Solving
21 + -3x = 6

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -3x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = 6 + -21
-3x = 6 + -21

Combine like terms: 6 + -21 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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